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SSAT Middle Level Math : How to subtract fractions

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Example Questions

Example Question #224 : Build Fractions From Unit Fractions

Solve the following:

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

Possible Answers:

$6\frac{2}{9}$ $\displaystyle 6\frac{2}{9}$

$7\frac{1}{9}$ $\displaystyle 7\frac{1}{9}$

$6\frac{1}{9}$ $\displaystyle 6\frac{1}{9}$

$6\frac{1}{8}$ $\displaystyle 6\frac{1}{8}$

$7\frac{1}{8}$ $\displaystyle 7\frac{1}{8}$

Correct answer:

$6\frac{1}{9}$ $\displaystyle 6\frac{1}{9}$

Explanation:

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

43-37=6 $\displaystyle 43-37=6$

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

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

Possible Answers:

$\frac{4}{7}$ $\displaystyle \frac{4}{7}$

$\frac{5}{7}$ $\displaystyle \frac{5}{7}$

$\frac{2}{7}$ $\displaystyle \frac{2}{7}$

$\frac{3}{7}$ $\displaystyle \frac{3}{7}$

$\frac{6}{}7$ $\displaystyle \frac{6}{}7$

Correct answer:

$\frac{5}{7}$ $\displaystyle \frac{5}{7}$

Explanation:

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

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

5 7

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Example Question #111 : How To Subtract Fractions

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

Possible Answers:

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

$\frac{3}4{}$ $\displaystyle \frac{3}4{}$

$\frac{5}7{}$ $\displaystyle \frac{5}7{}$

$\frac{1}4{}$ $\displaystyle \frac{1}4{}$

$\frac{9}{11}$ $\displaystyle \frac{9}{11}$

Correct answer:

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

Explanation:

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

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

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

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.

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

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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 #224 : Build Fractions From Unit Fractions

Example Question #592 : Number & Operations: Fractions

Example Question #111 : How To Subtract Fractions

All SSAT Middle Level Math Resources

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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 #224 : Build Fractions From Unit Fractions

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

Example Question #111 : How To Subtract Fractions

All SSAT Middle Level Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Example Question #592 : Number & Operations: Fractions