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SSAT Middle Level Math : How to subtract fractions

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Example Questions

Example Question #11 : How To Subtract Fractions

Which of the following expressions is equal to $20 - 7 \frac{4}{5}$ ?

Possible Answers:

12.4

12.8

13.2

13.75

12.2

Correct answer:

12.2

Explanation:

Rewrite $7 \frac{4}{5}$ as a decimal:

$4 \div 5 = 0.8$ , so

$7 \frac{4}{5} = 7.8$

Now subtract:

20.0

$\underline{-7.8}$

12.2

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Example Question #11 : How To Subtract Fractions

Find $\frac{3}{5}-\frac{2}{15}$ .

Possible Answers:

$\frac{6}{75}$

$\frac{30}{13}$

$\frac{7}{15}$

$\frac{1}{4}$

$\frac{1}{2}$

Correct answer:

$\frac{7}{15}$

Explanation:

When substracting one fraction from another, first find the common denominator, then subtract one numerator from another.

$\frac{3}{5}-\frac{2}{15}=\frac{9}{15}-\frac{2}{15}$

$\frac{9}{15}-\frac{2}{15}=\frac{7}{15}$

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Example Question #13 : How To Subtract Fractions

Evaluate:

$-20 - 7.5 \times 3 - 1.2$

Possible Answers:

-43.7

-83.7

-41.3

-49.5

-81.3

Correct answer:

-43.7

Explanation:

By the order of operations, carry out the multiplication first, then the leftmost subtraction, then the rightmost subtraction:

$-20 - 7.5 \times 3 - 1.2$

=-20 - 22.5 - 1.2

=-42.5 - 1.2

=-43.7

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Example Question #12 : How To Subtract Fractions

Which of the following is the difference of five-sevenths and one-half?

Possible Answers:

$\frac{3}{28}$

The correct answer is not among the other responses.

$\frac{2}{21}$

$\frac{1}{14}$

$\frac{4}{5}$

Correct answer:

The correct answer is not among the other responses.

Explanation:

Since GCF(2,7) = 14 , we must rewrite each number as its equivalent in fourteenths, then subtract numerators, as follows:

$\frac{5}{7} -\frac{1}{2} = \frac{5 \times 2}{7 \times 2}- \frac{7 \times 1}{7 \times 2} = \frac{10}{14} - \frac{7 }{14} = \frac{10-7}{14} = \frac{3}{14}$

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Example Question #13 : How To Subtract Fractions

Which of the following is the difference of five-sevenths and one-half?

Possible Answers:

$\frac{5}{14}\,$

$\frac{5}{21}$

$\frac{4}{5}$

$\frac{2}{7}$

$\frac{3}{14}$

Correct answer:

$\frac{3}{14}$

Explanation:

Since GCF (2,7) = 14 , rewrite each fraction as its equivalent in fourteenths and subtract the numerators:

$\frac{5}{7} - \frac{1}{2} = \frac{5 \times 2}{7 \times 2} - \frac{7 \times 1}{7 \times 2} = \frac{10}{14} - \frac{7 }{14} = \frac{10-7}{14} = \frac{3}{14}$

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Example Question #16 : How To Subtract Fractions

The time is now 1:32 PM. What time was it three hours and seventeen minutes ago?

Possible Answers:

$11:05 \textrm{ AM}$

$10:05\textrm{ AM}$

$11:15\textrm{ AM}$

The correct answer is not given among the other choices.

$10:15\textrm{ AM}$

Correct answer:

$10:15\textrm{ AM}$

Explanation:

One hour and thirty-two minutes have elapsed since midnight. Since three hours and seventeen minutes make a greater quantity, we need to look at this as thirteen hours and thirty-two minutes having elapsed since noon.

We can subtract hours, then subtract minutes:

$13\textrm{ hr }32\textrm{ min}$

$\underline{- 3\textrm{ hr }17\textrm{ min}}$

$10 \textrm{ hr }15 \textrm{ min}$

The time was 10:15 AM.

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Example Question #14 : How To Subtract Fractions

Which of the following is the difference of seven tenths and seventeen hundredths?

Possible Answers:

0.5983

0.683

0.53

0.053

0.6983

Correct answer:

0.53

Explanation:

Seven tenths is equal to 0.7; seventeen hundredths is equal to 0.17. Subtract them, rewriting 0.7 as 0.70;

0.70

$\underline{- \; 0.17 }$

0.53

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Example Question #144 : Operations With Fractions And Whole Numbers

$\frac{3}{4}-\frac{2}{3}$

Possible Answers:

$\frac{1}{24}$

$\frac{1}{1}$

$\frac{1}{2}$

$\frac{1}{12}$

$\frac{1}{0}$

Correct answer:

$\frac{1}{12}$

Explanation:

$\frac{3}{4}-\frac{2}{3}$

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

$\frac{3}{4}\times\frac{3}{3}=\frac{9}{12}$

$\frac{2}{3\time}\times\frac{4}{4}=\frac{8}{12}$

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.

$\frac{9}{12}-\frac{8}{12}=\frac{1}{12}$

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Example Question #145 : Operations With Fractions And Whole Numbers

$\frac{8}{12}-\frac{1}4{}$

Possible Answers:

$\frac{7}{16}$

$\frac{5}{12}$

$\frac{3}{4}$

$\frac{5}{0}$

$\frac{7}{8}$

Correct answer:

$\frac{5}{12}$

Explanation:

$\frac{8}{12}-\frac{1}4{}$

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

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

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.

$\frac{8}{12}-\frac{3}{12}=\frac{5}{12}$

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Example Question #421 : Fractions

Solve:

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

Possible Answers:

$\frac{5}{15}$

$\frac{1}{30}$

$\frac{1}{15}$

$\frac{1}{3}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{15}$

Explanation:

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

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

$\frac{2}{3}\times\frac{5}{5}=\frac{10}{15}$

$\frac{3}{5}\times \frac{3}{3}=\frac{9}{15}$

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.

$\frac{10}{15}-\frac{9}{15}=\frac{1}{15}$

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SSAT Middle Level Math : How to subtract fractions

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #11 : How To Subtract Fractions

Example Question #11 : How To Subtract Fractions

Example Question #13 : How To Subtract Fractions

Example Question #12 : How To Subtract Fractions

Example Question #13 : How To Subtract Fractions

Example Question #16 : How To Subtract Fractions

Example Question #14 : How To Subtract Fractions

Example Question #144 : Operations With Fractions And Whole Numbers

Example Question #145 : Operations With Fractions And Whole Numbers

Example Question #421 : Fractions

All SSAT Middle Level Math Resources

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