Math 5.9 Divide With Fractions Test Review

Math 5.9 Divide With Fractions Test Review

Multiple Choice

Which option shows $$15\ \div\ 13$$  as a fraction or a mixed number?

• $$2\ \frac{2}{13}$$  

• $$\frac{13}{15}$$  

• $$1\frac{2}{13}$$  

• $$1\frac{15}{13}$$  

Remember that a division equation can be written as a fraction with the divisor as the denominator and the dividend as the numerator. So, 15 divided by 13 can be written as 15/13, which can be simplified to a mixed number of 1 2/13.​

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Explanation #1

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Multiple Choice

Mr.s Webster wants to divide the milk shown into 1/3 pint servings. How many servings are possible?

• 18 servings

• 2 servings

• 1/18 servings

• 1/2 servings

We are looking for how many servings can be made from 6 pints. The serving size is 1/3 pint. So I need to know how many 1/3's can fit into 6. We can use a model, or we can use our algorithm and use the inverse operation and inverse of the divisor. Watch the video for both strategies.​

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Explanation #2

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Multiple Choice

A farmer owns 24 acres of land. He plans to use 6 acres for an entrance into the farm and partition the remaining land into $$\frac{1}{3}$$  acre lots. How many $$\frac{1}{3}$$  acre lots will he have?

• 6 lots

• 18 lots

• 54 lots

• 72 lots

This is a two step problem. First we need to figure out how many acres of land will be used for lots. We started with 24 acres, but he used 6 acres for the entrance so only 24-6 = 18 acres are available for the lots. Next we need to figure out how many 1/3 acre lots are in 18 acres. So our equation would be 18 divided by 1/3. Watch the video for a model and algorithm strategy.

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Explanation #3

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Multiple Choice

One half of a cake was shared equally among 4 people. What fraction of the whole cake did each person get?

• 8 of the cakes

• 2 of the cakes

• 1/8 of the cake

• 1/4 of the cake

We start with only 1/2 of a cake, and want to know how much of the whole cake each person will get if 4 people share 1/2 a cake. Our equation is 1/2 divided by 4. The model is a bit different for a fraction divided by a whole number, but the algorithm follows the same steps of using the inverse operation and inverse divisor. Watch the video for the strategies.

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Explanation #4

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