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SSAT Middle Level Math : Fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

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Example Questions

Example Question #599 : Number & Operations: Fractions

A baker used $\frac{4}{8}$ of a package of sprinkles and $\frac{6}{8}$ of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

Possible Answers:

$\frac{5}{8}$

$\frac{3}{8}$

$\frac{4}{8}$

$\frac{2}{8}$

$\frac{6}{8}$

Correct answer:

$\frac{2}{8}$

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract.

$\frac{6}{8}-\frac{4}{8}=\frac{2}{8}$

2 8

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Example Question #341 : Build Fractions From Unit Fractions

Select the fraction model that shows the difference of the following:

$\frac{6}{12}-\frac{4}{12}$

Possible Answers:

4 12

2 12

7 8

8 12

6 8

Correct answer:

2 12

Explanation:

$\frac{6}{12}-\frac{4}{12}=\frac{2}{12}$

The fraction model is broken up into twelve pieces and two of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.

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Example Question #991 : Numbers And Operations

Ben washed $\frac{3}{8}$ of the windows and Jen washed $\frac{1}{4}$ of them. How much more of the windows did Ben wash?

Possible Answers:

$\frac{2}3{}$

$\frac{1}2{}$

$\frac{7}9{}$

$\frac{1}6{}$

$\frac{1}8{}$

Correct answer:

$\frac{1}8{}$

Explanation:

$\frac{3}{8}-\frac{1}{4}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{4}\times\frac{2}{2}=\frac{2}{8}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{3}{8}-\frac{2}8{=\frac{1}{8}}$

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Example Question #57 : How To Subtract Fractions

Solve the following:

$\frac{2}{3}-\frac{1}{8}$

Possible Answers:

$\frac{13}{24}$

$\frac{12}{24}$

$\frac{1}{5}$

$\frac{1}2{}$

$\frac{3}7{}$

Correct answer:

$\frac{13}{24}$

Explanation:

$\frac{2}{3}-\frac{1}{8}$

In order to solve this problem, we first have to find common denominators.

$\frac{2}{3}\times\frac{8}{8}=\frac{16}{24}$

$\frac{1}{8}\times\frac{3}{3}=\frac{3}{24}$

Now that we have common denominators, we can subtract the fractions. Remember, when we add and subtract fractions, we only add or subtract the numerator.

$\frac{16}{24}-\frac{3}{24}=\frac{13}{24}$

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Example Question #1 : Subtracting Mixed Numbers

Solve the following:

$43\frac{5}{9}-37\frac{4}{9}$

Possible Answers:

$6\frac{2}{9}$

$7\frac{1}{8}$

$7\frac{1}{9}$

$6\frac{1}{9}$

$6\frac{1}{8}$

Correct answer:

$6\frac{1}{9}$

Explanation:

When we subtract mixed numbers, we subtract whole numbers by whole numbers and fractions by fractions.

43-37=6

$\frac{5}{9}-\frac{4}{9}=\frac{1}{9}$

Remember, when we are subtracting fractions we must have common denominators and we only subtract the numerators.

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Example Question #592 : Number & Operations: Fractions

A baker used $\frac{1}{7}$ of a pound of sprinkles and $\frac{6}{7}$ of a pound of icing when decorating a cake. How much more icing than sprinkles did the baker use, in pounds?

Possible Answers:

$\frac{4}{7}$

$\frac{5}{7}$

$\frac{2}{7}$

$\frac{3}{7}$

$\frac{6}{}7$

Correct answer:

$\frac{5}{7}$

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract.

$\frac{6}{7}-\frac{1}{7}=\frac{5}{7}$

5 7

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Example Question #12 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Shannon has painted $\frac{5}{8}$ of the house and Dan has painted $\frac{1}4{}$ of the house. How much more of the house has Shannon painted?

Possible Answers:

$\frac{5}7{}$

$\frac{3}{8}$

$\frac{9}{11}$

$\frac{1}4{}$

$\frac{3}4{}$

Correct answer:

$\frac{3}{8}$

Explanation:

$\frac{5}{8}-\frac{1}{4}$

In order to solve this problem, we first need to make common denominators.

$\frac{1}{4}\times\frac{2}{2}=\frac{2}{8}$

Now that we have common denominators, we can subtract the fractions. Remember, when we subtract fractions, the denominator stays the same, we only subtract the numerator.

$\frac{5}{8}-\frac{2}{8}=\frac{3}{8}$

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Example Question #1 : How To Multiply Fractions

Express the product in simplest form:

$\frac{5}{7} \cdot 1 \frac{1}{7} \cdot 2 \frac{4}{5}$

Possible Answers:

$2 \frac{2}{7}$

$2 \frac{2}{5}$

$1\frac{6}{7}$

$2\frac{8}{35}$

Correct answer:

$2 \frac{2}{7}$

Explanation:

Rewrite the mixed fractions as improper fractions, cross-cancel, and multiply across:

$\frac{5}{7} \cdot 1 \frac{1}{7} \cdot 2 \frac{4}{5} = \frac{5}{7} \cdot \frac{8}{7} \cdot \frac{14}{5}= \frac{1}{1} \cdot \frac{8}{7} \cdot \frac{2}{1}= \frac{16}{7}= 2\frac{2}{7}$

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Example Question #2 : How To Multiply Fractions

Evaluate:

$5.96 + 3.2 \times 1.5$

Possible Answers:

13.74

10.76

64.4

9.76

6.44

Correct answer:

10.76

Explanation:

By order of operations, multiply first:

$3.2 \times 1.5$

Multiply 32 by 15, and position the decimal point so that two digits are right of it:

$32 \times 15 = 480$

$3.2 \times 1.5 = 4.80 = 4.8$

Now add this product to 5.96:

$5.96 + 3.2 \times 1.5 = 5.96 + 4.8$

Append a zero to the 4.8, and align the decimal points:

5.96

$\underline{4.80}$

10.76

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Example Question #2 : How To Multiply Fractions

Evaluate:

$6.5 + 1.4 \times 1.6$

Possible Answers:

2.89

12.64

6.724

8.74

28.9

Correct answer:

8.74

Explanation:

By order of operations, multiply first:

$1.4 \times 1.6$

Multiply 14 by 16, and position the decimal point so that two digits are right of it:

$14 \times 16 = 224$

$1.4 \times 1.6 = 2.24$

Now add this product to 6.5:

$6.5 + 1.4 \times 1.6 = 6.5 + 2.24$

Append a zero to the 6.5, and align the decimal points:

6.50

$\underline{2.24}$

8.74

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SSAT Middle Level Math : Fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #599 : Number & Operations: Fractions

Example Question #341 : Build Fractions From Unit Fractions

Example Question #991 : Numbers And Operations

Example Question #57 : How To Subtract Fractions

Example Question #1 : Subtracting Mixed Numbers

Example Question #592 : Number & Operations: Fractions

Example Question #12 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Example Question #1 : How To Multiply Fractions

Example Question #2 : How To Multiply Fractions

Example Question #2 : How To Multiply Fractions

All SSAT Middle Level Math Resources

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HIGH SCHOOL

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K-8

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SSAT Middle Level Math : Fractions

Study concepts, example questions & explanations for SSAT Middle Level Math

All SSAT Middle Level Math Resources

Example Questions

Example Question #599 : Number & Operations: Fractions

Example Question #341 : Build Fractions From Unit Fractions

Example Question #991 : Numbers And Operations

Example Question #57 : How To Subtract Fractions

Example Question #1 : Subtracting Mixed Numbers

Example Question #592 : Number & Operations: Fractions

Example Question #12 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.5.Nf.A.2

Example Question #1 : How To Multiply Fractions

Example Question #2 : How To Multiply Fractions

Example Question #2 : How To Multiply Fractions

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Example Question #599 : Number & Operations: Fractions

Example Question #592 : Number & Operations: Fractions