How do fraction tiles help me subtract unlike fractions?

Answers

Answer 1

Answer:

Step-by-step explanation:

They let you see how one fraction compares to another for one.  Say you had 2/5 and 3/7 it may be tricky to tell which is bigger, but having the tiles will let you see that 3/7 is slightly bigger.  And there are many many more complicated  examples.  So if you know which is bigger you will know subtracting the smaller one will keep it positive, while if you subtract the larger from the smaller one it will be negative.

Also, you can then find equivalent tiles.  In the example I gave you would be able to see 2/5 = 14/35 and 3/7 = 15/35.  Which are like fractions you can subtract simply.  

Answer 2

Final answer:

Fraction tiles are a useful tool for subtracting unlike fractions by helping you visualize the process and find a common denominator, making the subtraction of different sized pieces understandable and accurate.

Explanation:

Fraction tiles are a visual and intuitive tool to help you understand how to subtract unlike fractions. When subtracting fractions with different denominators (unlike fractions), you cannot simply subtract the numerators because they represent different sized pieces. Fraction tiles help by providing a visual representation of different fractions and showing how they can be combined or separated into equivalent amounts with a common denominator.

To subtract unlike fractions effectively using your intuition and fraction tiles, first make sure that each fraction is represented by tiles that are all of the same size, which represent the common denominator. Once you have the common denominator for both fractions, you can easily remove the number of tiles corresponding to the smaller fraction from the larger one. The remaining tiles will show you the difference between the two fractions.

This approach will guide you in constructing the right rules for subtraction. Remember, the denominators in a fraction tell us how many equal parts the whole is divided into, while the numerators tell us how many parts we have. By using fraction tiles and aligning them to a common denominator, our intuition helps us understand the process mathematically, giving us confidence in the rules of subtracting fractions.


Related Questions


If m1=140, what is m3?
90
130
50
40

Answers

The Answer Is A 40 Degree Angle.

What is the area of a rectangle with length 1/12 ft and width 3/4 ft

Answers

Answer:

3/48 or reduced 1/16

Step-by-step explanation:

1/3 x 3/4 = 3/48

Reduced:

3/48 ÷ 3/3 = 1/16

Only put the reduced fraction if it asks.

Hope this helps :)

Final answer:

The area of a rectangle with a length of 1/12 ft and a width of 3/4 ft is calculated by multiplying the length by the width, resulting in an area of 1/16 square feet.

Explanation:

To find the area of a rectangle, you multiply the length by the width. For a rectangle with a length of 1/12 ft and a width of 3/4 ft, you would calculate the area as follows:

Area = length × widthArea = (1/12) ft × (3/4) ftArea = 3/48 ft²Area = 1/16 ft²

Thus, the area of the rectangle is 1/16 square feet.

A used boat is on sale for 2,400.Austin makes an offer equal to 2/3 of this price.How much does Austin offer for the boat

Answers

Answer:1600 he offered

Step-by-step explanation: 2400 / 3 x 2 = 1600

In school there are 500 students. 320 of the students are females. What is the ratio of female to male students? What is the ratio of the male students to the total number of students?

Answers

Answer:

9:25

Step-by-step explanation:

500 - 320 = 180

500:180

50:18

25:9

Answer:

female to male = 8:7

male to total = 14:25

Step-by-step explanation:

since no of boys= 500-320= 280

no of boys = 280

so

male : female = 8:7

male : total = 14:25

If f(x) = 3x + 5 and g(x) = x-1 then f[g(-3)]

Answers

Answer:

- 7

Step-by-step explanation:

To calculate f(g(- 3)), evaluate g(- 3) then evaluate f(x) for this value

g(- 3) = - 3 - 1 = - 4, then

f(- 4) = 3(- 4) + 5 = - 12 + 5 = - 7

Jaxon is building a brace for a wall shelf. It is in the shape of a right triangle. He has cut one leg to be 18 inches long and the other leg to be 2 feet long. How many inches long must the last piece of lumber be?

Answers

30 inches or 2.5 feet

Answer:  The length of last piece is 30 inches.

Step-by-step explanation:

Since we have given that

Length of one leg = 18 inches

Length of other leg = 2 feet = 24 inches

As it is in the right triangle.

[tex]H^2=P^2+B^2\\\\H^2=18^2+24^2\\\\H^2=900\\\\H=\sqrt{900}\\\\H=30[/tex]

Hence, the length of last piece is 30 inches.

how do you simplify 2 2/3​

Answers

Answer:2.66

Step-by-step explanation:

8/3 which will be 2.66666666666666

the sum of twice y and 9 is 21​

Answers

Answer:

so y equals 6 if thats your question. What you said wus a statement not  a question.

Step-by-step explanation:

21-9=12

12/2=6

answer=6

y is 6

6 since 6 is y times 2 then add 9 is 21

(-3.2) to the power of 0

Answers

Answer:

1

Step-by-step explanation:

26. Higher Order Thinking Explain how
you know 437,160 is greater than 43,716.​

Answers

Answer:

Step-by-step explanation:

Locate the decimal point.

Count to the left of the decimal point.

The number with the most number of digits is larger than the number with fewer digits.

437160 has six digits.

It is 10 times bigger then

43716 which only has 5 digits.

3. Your car gets 30 mpg on the highway. If gas costs $4.20 per
gallon, how much does it cost to drive your car per mile?​

Answers

Answer:

It costs $0.14 to drive your car for one mile.

Hope this helps :)

Final answer:

To calculate the cost of driving per mile, the price of gasoline ($4.2) should be divided by the car's fuel efficiency (30 mpg). This results in a cost of $0.14 per mile.

Explanation:

To find out how much it costs to drive per mile, we need to divide the cost of one gallon of gas by the number of miles that can be driven with that gallon. In this case, the cost of gasoline is $4.20 per gallon and the mileage of the car is 30 miles per gallon.

First, identify the cost of gas per gallon and the car's fuel efficiency (miles per gallon). Here, the cost is $4.2 and efficiency is 30 mpg.Next, you should divide the cost per gallon by the miles per gallon. Therefore, $4.20 ÷ 30 =  $0.14, which represent the cost per mile.

So, in this scenario, it costs approximately $0.14 to drive your car for one mile on the highway.

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(9.75 times ten to the third power)(8.4 times ten to the negative sixth power

Answers

Answer:

9,750 and 0.0000084

Step-by-step explanation:

9.75 × 10^3= 9,750 (move decimal 3 places to the right because exponent is positive)

8.4 × 10^-6 = 0.0000084 (move decimal 6 places to the left because exponent is negative)

A recipe calls for 3 1/2 cups of flour and 3/4 cup of sugar. If you want to make the recipe with 6 cups of flour, how much sugar will you need? Show your work.

help please and thank you.

Answers

Answer:

1 2/7 cups of sugar

Step-by-step explanation:

You can use a proportion.

To make it easier to write the proportion, we rewrite the numbers as decimals.

3 1/2 = 3.5

3/4 = 0.75

Let x be the unknown amount of sugar.

3.5 cups of flour is to 0.75 cup of sugar as 6 cups of flour is to x cups of sugar.

3.5/0.75 = 6/x

Cross multiply.

3.5x = 0.75 * 6

3.5x = 4.5

x = 4.5/3.5 = 45/35 = 9/7 = 1 2/7

The midpoint CD of is E(-1,0) . One endpoint isC (5, 2) .
What are the coordinates of the other endpoint?

Answers

For this case we have that by definition, the midpoint formula is given by:

[tex](\frac {x_ {1} + x_ {2}} {2}, \frac {y_ {1} + y_ {2}} {2}) = (x_ {m}, y_ {m})[/tex]

We have to:

[tex](\frac {5 + x_ {2}} {2}, \frac {2 + y_ {2}} {2}) = (- 1,0)[/tex]

So:

[tex]\frac {5 + x_ {2}} {2} = - 1\\5 + x_ {2} = - 2\\x_ {2} = - 2-5\\x_ {2} = - 7[/tex]

On the other hand:

[tex]\frac {2 + y_ {2}} {2} = 0\\2 + y_ {2} = 0\\y_ {2} = - 2[/tex]

Finally we have to:

[tex]D (-7, -2)[/tex]

Answer:

[tex]D (-7, -2)[/tex]

Answer:  The required co-ordinates of the other endpoint D are (-7, -2).

Step-by-step explanation:  Given that the midpoint CD of is E(-1,0) . One endpoint is C(5, 2) .

We are to find the coordinates of the other endpoint D.

Let (x, y) represents the co-ordinates of the point D.

We know that the co-ordinates of the midpoint of a line segment with endpoints (a, b) and (c, d) are given by

[tex]\left(\dfrac{a+c}{2},\dfrac{b+d}{2}\right).[/tex]

So, according to the given information, we have

[tex]\left(\dfrac{5+x}{2},\dfrac{2+y}{2}\right)=(-1,0)\\\\\\\Rightarrow \dfrac{5+x}{2}=-1\\\\\Rightarrow 5+x=-2\\\\\Rightarrow x=-2-5\\\\\Rightarrow x=-7[/tex]

and

[tex]\dfrac{2+y}{2}=0\\\\\Rightarrow 2+y=0\\\\\Rightarrow y=-2.[/tex]

Thus, the required co-ordinates of the other endpoint D are (-7, -2).

the difference of two odd numbers is always an odd number. true or false​

Answers

it is false that the difference of two odd numbers is always an odd number.

How to determine the true statement

From the question, we have the following parameters that can be used in our computation:

the difference of two odd numbers is always an odd number

By definition:

Odd numbers cannot be divided by 2 evenly


Examples are

3 and 5

The difference between these numbers is

5 - 3 = 2

This means that the statement is false

False.

The difference of two odd numbers is always an even number.

Find the slope of the segment with the endpoints (1, − 1/n ) and ( n/m , − 1/m ).

Answers

(y - yo) = m.(x - xo)

Let's go

(-1/n - (-1/m)) = s.(1 - n/m)

(-1/n + 1/m) = s.(1 - n/m)

(-m+n)/mn = s.(m - n)/m

If we multiply both sides by m

(-m + n)/n = s.(m - n)

If we take the (-1) from the left side we have

(-1.(m - n))/n = s.(m - n)

And if we divide both sides by (m - n)

-1/n = s

So our slope is -1/n

If a pound of coffee costs $6, how many ounces can be bought for $3

Answers

8

Because 16 ounces is a pound half of 16 is 8, 8 ounces is half a pound. :)

You can get 8 ounces of coffee for $3

A moving company charges $0.70 per pound for a move from New York to Florida. A family estimates that their belongings weigh about 5 tons. About how much would it cost the family to move from New York to Florida?

Answers

Answer:

When we are moving things of 5 tons when the amount $0.70 per one pound, from New York to Florida the total cost it will be $7000

Solution:  

From question given data are

The amount charge per one pound when we transferring from New York to Florida = $0.70

The total amount for 5 tons when we transferring from New York to Florida  is to be found out.

We know that 1 ton = 2000 pounds.

In order to find the total amount per one ton = [tex]2000 \times 0.70[/tex]

[tex]=2000 \times \frac{70}{100}[/tex]  = 1400

The total amount per one ton = $ 1400

In the given problem the total amount per 5 ton = [tex]5 \times 1400[/tex]  = $ 7000

Hence, when we are moving things of 5 tons when the amount $0.70 per one pound, from New York to Florida the total cost it will be $7000

Answer:

The total cost to move the belongings from New York to Florida is [tex]7000\[/tex]

Solution:

Given that,

Cost per pound to move from New York to Florida is [tex]0.70\[/tex]

Total weight of the belongings is 5 tons

To find: The total cost

The value of 1 ton in pounds is 2000

[tex]\therefore 5 tons = 2000\times 5 = 10,000 pounds[/tex]

So, the total cost to move the belongings from New York to Florida is [tex]total weight \times cost per pound[/tex].

Total cost = [tex]0.70\ \times 10000 = \frac{700000}{100} = 7000\[/tex]

7. The value of x varies directly with y, and
when x =1/3, y = 12. Write an equation to
represent the direct variation. V- X

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we also know that } \begin{cases} x= \frac{1}{3}\\ y= 12 \end{cases}\implies 12=k\left( \cfrac{1}{3} \right)\implies 12=\cfrac{k}{3} \\\\\\ 36=k~\hspace{10em}\boxed{y=36x}[/tex]

Final answer:

For direct variation, represented by y = kx, we replace y and x with the provided values. We solve for k to get 36. The direct variation equation is y = 36x.

Explanation:

In the case of direct variation, the equation is usually presented in the form of y = kx, where k is the constant of variation. To write an equation to represent the direct variation between x and y with the given values, we will begin by replacing y and x in our equation with the given values 12 and 1/3 respectively.

That gives us 12 = k(1/3). By solving for k, we obtain k = 12 / (1/3) = 36. Thus, the equation representing the direct variation between x and y is y = 36x.

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3x^2-4x+1, match the following

Answers

Answer:

x = variable

3 = coefficient

1 = constant

3x^2-4x+1 = algebraic expression

2 = degree

Step-by-step explanation:

variables are typically the letters in equations (usually x and y)

coefficients are the numbers attached to the variables

constants don't have any variables attached

algebraic expressions are the full expression

degrees are the small numbers in the top right corners on either constants, variables or coefficients

Hope this helps!

Each item matched with its description and meaning is

x = Variable3 = coefficient 1 = constant3x² - 4x + 1 = algebraic expression 2 = degree

How to match each item with its description and meaning

From the question, we have the following parameters that can be used in our computation:

3x² - 4x + 1

The above algebraic expression is a quadratic expression

This means that the degree of the equation is 2

Also, we have the expression to use the variable x

So, we have

variable = x

The constant term is the term without the variable x

So, we have

constant = 1

And the coefficient is 3

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what are the factors of 408?

Answers

Answer:

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Step-by-step explanation:

plz rate Brainliest

Answer:

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Step-by-step explanation:

A 20” Square is being copied at 25%. What are the dimensions of the New square after being copied?

Answers

Answer:

5"

Step-by-step explanation:

You are copying a square of side 20 inches into a smaller version of it that is exactly 25% of the original size.

Notice that 25% can be written in fraction form as: [tex]\frac{25}{100} = \frac{1}{4}[/tex]

This gives us a clue about how to reduce the original dimension: "multiply it by [tex]\frac{1}{4}[/tex], which is the same as divide it by 4:

[tex]20" * \frac{1}{4} = \frac{20"}{4} = 5"[/tex]

fredric worked 46 hours last week. his hourly rate is $8.50. What was his gross pay?

Answers

Final answer:

Fredric's gross pay for working 46 hours at an hourly rate of $8.50 is $391.00.

Explanation:

The question asks about calculating Fredric's gross pay given the number of hours he worked and his hourly rate. To find Fredric's gross pay, we multiply the number of hours worked by his hourly rate.

Fredric worked 46 hours last week and his hourly rate is $8.50. Therefore,

Gross Pay = Hours Worked × Hourly Rate

= 46 hours × $8.50/hour

= $391.00

So, Fredric's gross pay for the week is $391.00.

Fredric's gross pay for working 46 hours at $8.50 per hour is $391.00.

To find Fredric's gross pay, we multiply his hours worked by his hourly rate.

1. **Calculate total earnings for the week:**

[tex]\[ \text{Total earnings} = \text{Hours worked} \times \text{Hourly rate} \][/tex]

[tex]\[ \text{Total earnings} = 46 \text{ hours} \times \$8.50/\text{hour} \][/tex]

2. **Perform the multiplication:**

 [tex]\[ \text{Total earnings} = 46 \times \$8.50 \][/tex]  

[tex]\[ \text{Total earnings} = \$391.00 \][/tex]

So, Fredric's gross pay for the week was $391.00.

what are ratios that are equivalent to 8:20?

Answers

Answer:

2:5

Step-by-step explanation:

8:20 divided by 4 on bothe sides would equal 2:5

Final answer:

Equivalent ratios to 8:20 can be found by simplifying this ratio to its lowest terms, which is 2:5, and then scaling these numbers up or down by the same factor. Examples of equivalent ratios to 8:20 include 2:5, 4:10, 6:15, 8:20, and 10:25.

Explanation:

The question is asking for ratios equivalent to the ratio 8:20. To find equivalent ratios, we need to either multiply or divide both numbers in the ratio by the same amount. Ratios are a method of comparing quantities and numbers.

Let's start by simplifying the ratio 8:20 to its simplest form. To do this, we find the greatest common divisor of 8 and 20 which is 4. Then, divide both numbers by 4. This simplifies the ratio to 2:5.

Now that we have the simplified form of the ratio, we can find equivalent ratios by simply multiplying or dividing these numbers by any other number. For instance, multiplying by 2, we get the ratio 4:10. This is an equivalent ratio to 8:20 because the relationship between the numbers remains the same.

Here are some other equivalent ratios to 8:20: 6:15, because 2 x 3 = 6 and 5 x 3 = 15; 8:20, because 2 x 4 = 8 and 5 x 4 = 20; and 10:25, because 2 x 5 = 10 and 5 x 5 = 25.

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For the function ƒ(x) = x2 + 3, what are the outputs for the inputs −3, 2, 0, and 5?

Answers

Good morning ☕️

_______

Answer:

12 , 7 , 0 , 28

___________________

Step-by-step explanation:

ƒ(x) = x² + 3

(1) ƒ(-3) = (-3)² + 3 = 9+3=12

(2) ƒ(2) = (2)² + 3 = 4+3=7

(3) ƒ(0) = (0)² + 3 = 0+3=0

(4) ƒ(5) = (5)² + 3 = 25+3=28.

:)

What integer is represented by ten feet
below sea level?

Answers

It’s negative 10 (-10) because it’s below the sea level which is zero and anything under zero is negative.

y=3x-5 and y=1/2x+5 Write your answer as an ordered pair, (x,y).

Answers

use the substitution method

y=3x-5

y= 1/2x+5

3x-5= 1/2x+5

move -5 to the other side

sign changes from -5 to +5

3x-5+5= 1/2x+5+5

3x= 1/2x+10

move 1/2x to the other

3x-1/2x= 1/2x-1/12x+10

3x-1/2x= 10

find the common denominator for 3x

pretend that there is a 1 for 3x. 3x/1. The common denominator is 2. Mutiply the fraction by 2

3x(2)/1(2)

= 6x/2

6x/2-1/2x= 10

5/2x= 10

mutiply both sides by 2/5

5/2x(2/5)= 10(2/5)

Cross out 5 and 10, divide by 5 . Then becomes 2*2= 4

x= 4

find y by using the substitution method

y=3x-5

y= 3(4)-5

y= 12-5

y= 7

Answer: (4,7)

Final answer:

To find the ordered pair (x, y) that satisfies the given equations y=3x-5 and y=1/2x+5, we can solve the system of equations simultaneously. The ordered pair is (4, 7).

Explanation:

To find the ordered pair (x, y) that satisfies the given equations y=3x-5 and y=1/2x+5, we need to solve the system of equations simultaneously. By setting the two expressions for y equal to each other, we can find the x-coordinate. Substituting this value back into either equation will give us the y-coordinate.

Let's set 3x-5 equal to 1/2x+5:

3x-5 = 1/2x+5

Multiplying through by 2 to eliminate the fraction:

6x-10=x+10

Combining like terms:

5x=20

Dividing both sides by 5:

x=4

Substituting this value of x into y=3x-5:

y=3(4)-5

y=12-5

y=7

Therefore, the ordered pair (x, y) is (4, 7).

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In the number 21,354, which digit
has the greatest value?​

Answers

2 have the greatest value because it’s in the ten thousands place value.

In the number 21,354, the digit 2 has the greatest value.

What is the greatest or highest place value of a number?

The digit furthest to the left in a number is the greatest or highest place value. Any number other than zero could be it.

How to solve this problem?

Notice that the digit furthest to the left in the number 21,354 is 2. So, 2 has the greatest or highest place value.

Hence, In the number 21,354, the digit 2 has the greatest value.

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A tennis team has 24 members. There are twice as many girls as boys on the team. How many girls are on the tennis team?


6 girls
8 girls
12 girls
16 girls

Answers

Answer: 16 girls.

Step-by-step explanation: 16 girls means that there are 8 boys. 8+16=24.

Answer:

There are going to be 16 girls on the tennis team

What is six,thousand,fifty,four in standard form

Answers

Answer:

6,054

Step-by-step explanation:

6000+50+4=6054 basically.

Hope this helps!!!

Brady

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