Problems With Fractions (Addition And Subtraction)

1) Horacio is working on his science fair project about the heights of fifth graders. His data are shown on the left graph.How much taller is Lucia than Horacio?

3/4

1/12

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Explanation

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2) Gabriella bought a pile of bricks to build a brick wall. Yesterday, she used 5/8 of the brick pile. Tomorrow, she plans to use another \dfrac{1}{4}174start fraction, 1, divided by, 4, end fraction1/4 of the original brick pile

3/8

1/8

14/8

Yesterday, Gabriella used 5/8 of the brick pile. This means that there are 3/8 of the original pile remaining. Tomorrow, she plans to use 1/4 of the original pile. If we multiply 3/8 by 1/4, we get 3/32. This means that tomorrow Gabriella will use 3/32 of the original pile. To find out how much of the original pile will remain after tomorrow, we subtract 3/32 from the current amount of 3/8. This gives us 3/8 - 3/32 = 9/32. Therefore, the answer is 9/32, which can be simplified to 1/8.

Explanation

Yesterday, Gabriella used 5/8 of the brick pile. This means that there are 3/8 of the original pile remaining. Tomorrow, she plans to use 1/4 of the original pile. If we multiply 3/8 by 1/4, we get 3/32. This means that tomorrow Gabriella will use 3/32 of the original pile. To find out how much of the original pile will remain after tomorrow, we subtract 3/32 from the current amount of 3/8. This gives us 3/8 - 3/32 = 9/32. Therefore, the answer is 9/32, which can be simplified to 1/8.

3) Sarah had 2/5 of a pizza left. She ate 1/3 of what was left. How much of the original pizza did Sarah eat?

2/15

1/5

1/6

3/8

To find how much of the original pizza Sarah ate, multiply 2/5 by 1/3.

Multiply the numerators: 2 * 1 = 2

Multiply the denominators: 5 * 3 = 15

The fraction of the original pizza Sarah ate is 2/15.

So, Sarah ate 2/15 of the original pizza.

Explanation

To find how much of the original pizza Sarah ate, multiply 2/5 by 1/3.

Multiply the numerators: 2 * 1 = 2

Multiply the denominators: 5 * 3 = 15

The fraction of the original pizza Sarah ate is 2/15.

So, Sarah ate 2/15 of the original pizza.

4) A chef uses 3/4 of a cup of sugar for one cake and 2/3 of a cup for another cake. How much sugar does the chef use in total?

Find a common denominator for 3/4 and 2/3, which is 12.

Convert 3/4 to 9/12 (since 3/4 = 9/12)

Convert 2/3 to 8/12 (since 2/3 = 8/12)

Add the fractions: 9/12 + 8/12 = 17/12 cups.

So, the chef uses 17/12 cups of sugar in total.

Explanation

Find a common denominator for 3/4 and 2/3, which is 12.

Convert 3/4 to 9/12 (since 3/4 = 9/12)

Convert 2/3 to 8/12 (since 2/3 = 8/12)

Add the fractions: 9/12 + 8/12 = 17/12 cups.

So, the chef uses 17/12 cups of sugar in total.

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5) Suppose that the first team member in a 333-person relay race must run 2 \dfrac{1}{4}2 1/42, start fraction, 1, divided by, 4, end fraction laps, the second team member must run 1 \dfrac{1}{2}1 1/2 1/ 1, start fraction, 1, divided by, 2, end fraction laps, and the third team member must run 3 \dfrac{5}{8}3 5/85/8 3, start fraction, 5, divided by, 8, end fraction laps. How many laps in all must each team run?

27/8

24/2

24/4

7 3/8

Explanation