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SSAT Middle Level Math : Numbers and Operations

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

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All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1571 : Ssat Middle Level Quantitative (Math)

$\frac{9}{11}-\frac{3}{4}$

Possible Answers:

$\frac{3}{44}$

$\frac{5}{22}$

$\frac{3}9{}$

$\frac{6}{7}$

$\frac{1}{2}$

Correct answer:

$\frac{3}{44}$

Explanation:

$\frac{9}{11}-\frac{3}{4}$

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

$\frac{9}{11}\times\frac{4}{4}=\frac{36}{44}$

$\frac{3}{4}\times\frac{11}{11}=\frac{33}{44}$

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.

$\frac{36}{44}-\frac{33}{44}=\frac{3}{44}$

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Example Question #53 : How To Subtract Fractions

$\frac{8}{9}-\frac{1}{8}$

Possible Answers:

$\frac{3}{4}$

$\frac{43}{82}$

$\frac{13}{29}$

$\frac{55}{72}$

$\frac{5}{7}$

Correct answer:

$\frac{55}{72}$

Explanation:

$\frac{8}{9}-\frac{1}{8}$

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

$\frac{8}{9}\times\frac{8}{8}=\frac{64}{72}$

$\frac{1}{8}\times\frac{9}{9}=\frac{9}{72}$

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.

$\frac{64}{72}-\frac{9}{72}=\frac{55}{72}$

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Example Question #2 : Subtract Fractions With Unlike Denominators

$\frac{4}{5}-\frac{2}{7}$

Possible Answers:

$\frac{23}{49}$

$\frac{19}{56}$

$\frac{5}{7}$

$\frac{2}{7}$

$\frac{18}{35}$

Correct answer:

$\frac{18}{35}$

Explanation:

$\frac{4}{5}-\frac{2}{7}$

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

$\frac{4}{5}\times\frac{7}{7}=\frac{28}{35}$

$\frac{2}{7}\times\frac{5}{5}=\frac{10}{35}$

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.

$\frac{28}{35}-\frac{10}{35}=\frac{18}{35}$

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Example Question #11 : Number & Operations With Fractions

David ate $\frac{3}{12}$ of the pizza and Alison ate $\frac{1}{3}$ of the pizza. How much more of the pizza did Alison eat?

Possible Answers:

$\frac{1}{12}$

$\frac{3}4{}$

$\frac{1}3{}$

$\frac{5}7{}$

$\frac{9}{11}$

Correct answer:

$\frac{1}{12}$

Explanation:

$\frac{1}{3}-\frac{3}{12}$

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

$\frac{1}{3}\times\frac{4}{4}=\frac{4}{12}$

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.

$\frac{4}{12}-\frac{3}{12}=\frac{1}{12}$

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Example Question #1573 : Ssat Middle Level Quantitative (Math)

Tim mowed $\frac{1}{7}$ of the yard and Tom mowed $\frac{1}{3}$ . How much more of the yard did Tom mow?

Possible Answers:

$\frac{4}{21}$

$\frac{1}9{}$

$\frac{5}7{}$

$\frac{13}{21}$

$\frac{2}3{}$

Correct answer:

$\frac{4}{21}$

Explanation:

$\frac{1}{3}-\frac{1}{7}$

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

$\frac{1}{7}\times\frac{3}{3}=\frac{3}{21}$

$\frac{1}{3}\times \frac{7}{7}=\frac{7}{21}$

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.

$\frac{7}{21}-\frac{3}{21}=\frac{4}{21}$

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

Jessica ate $\frac{1}{3}$ of the cake and Megan ate $\frac{1}{2}$ . How much more of the cake did Megan eat?

Possible Answers:

$\frac{2}{3}$

$\frac{1}{3}$

$\frac{4}{9}$

$\frac{1}{6}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{6}$

Explanation:

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

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

$\frac{1}3{\times\frac{2}{2}=\frac{2}{6}}$

$\frac{1}{2}\times\frac{3}{3}=\frac{3}{6}$

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.

$\frac{3}{6}-\frac{2}{6}=\frac{1}{6}$

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Example Question #14 : Number & Operations With Fractions

Kara ate $\frac{7}{18}$ of the bag of chips and Andrew ate $\frac{1}{9}$ . How much more of the bag of chips did Kara eat?

Possible Answers:

$\frac{9}{13}$

$\frac{4}{9}$

$\frac{2}{3}$

$\frac{5}{18}$

$\frac{1}{6}$

Correct answer:

$\frac{5}{18}$

Explanation:

$\frac{7}{18}-\frac{1}{9}$

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

$\frac{1}{9}\times \frac{2}{2}=\frac{2}{18}$

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.

$\frac{7}{18}-\frac{2}{18}=\frac{5}{18}$

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Example Question #61 : How To Subtract Fractions

Laura ate $\frac{2}{7}$ of the ice cream and Drew ate $\frac{1}{3}$ . How much more of the ice cream did Drew eat?

Possible Answers:

$\frac{1}{7}$

$\frac{5}7{}$

$\frac{9}{11}$

$\frac{1}{21}$

$\frac{2}3{}$

Correct answer:

$\frac{1}{21}$

Explanation:

$\frac{1}{3}-\frac{2}{7}$

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

$\frac{2}{7}\times\frac{3}{3}=\frac{6}{21}$

$\frac{1}{3}\times\frac{7}{7}=\frac{7}{21}$

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.

$\frac{7}{21}-\frac{6}{21}=\frac{1}{21}$

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Example Question #151 : Fractions

Joe paited $\frac{3}{10}$ of the fence an Sara painted $\frac{1}{2}$ . How much more of the fence did Sara paint?

Possible Answers:

$\frac{3}{10}$

$\frac{7}{11}$

$\frac{3}{4}$

$\frac{1}2{}$

$\frac{1}{5}$

Correct answer:

$\frac{1}{5}$

Explanation:

$\frac{1}{2}-\frac{3}{10}$

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

$\frac{1}{2}\times\frac{5}{5}=\frac{5}{10}$

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.

$\frac{5}{10}-\frac{3}{10 }=\frac{2}{10}$

$\frac{2}{10}$ can be reduced be dividing both sides by .

$\frac{2}{10} \div\frac{2}{2}=\frac{1}{5}$

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Example Question #21 : Number & Operations With Fractions

Zach cleaned $\frac{1}{8}$ of the house and Alex cleaned $\frac{1}{3}$ of the house. How much more of the house did Alex clean?

Possible Answers:

$\frac{1}{3}$

$\frac{5}{24}$

$\frac{2}{3}$

$\frac{1}{6}$

$\frac{7}{24}$

Correct answer:

$\frac{5}{24}$

Explanation:

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

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

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

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

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

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.

$\frac{8}{24}-\frac{3}{24}=\frac{5}{24}$

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SSAT Middle Level Math : Numbers and Operations

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #1571 : Ssat Middle Level Quantitative (Math)

Example Question #53 : How To Subtract Fractions

Example Question #2 : Subtract Fractions With Unlike Denominators

Example Question #11 : Number & Operations With Fractions

Example Question #1573 : Ssat Middle Level Quantitative (Math)

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

Example Question #14 : Number & Operations With Fractions

Example Question #61 : How To Subtract Fractions

Example Question #151 : Fractions

Example Question #21 : Number & Operations With Fractions

All SSAT Middle Level Math Resources

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