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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 #518 : Number & Operations With Fractions

A recipe calls for $\frac{2}{3}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{1}{7}\ cup$

$\frac{1}{3}\ cup$

$\frac{1}{6}\ cup$

$\frac{1}{2}\ cup$

$\frac{3}{4}\ cup$

Correct answer:

$\frac{1}{3}\ cup$

Explanation:

When you cut something in half, you can either divide by or multiply by $\frac{1}{2}$ . Remember, when you divide fractions, you actually multiply by the reciprocal. The reciprocal of is $\frac{1}{2}$ .

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

Reduce to find your final answer

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

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Example Question #519 : Number & Operations With Fractions

A recipe calls for $\frac{1}{3}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$1\ cup$

$\frac{1}{2}\ cup$

$\frac{2}{3}\ cup$

$\frac{5}{6}\ cup$

$\frac{1}{6}\ cup$

Correct answer:

$\frac{1}{6}\ cup$

Explanation:

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

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Example Question #521 : Number & Operations With Fractions

A recipe calls for $\frac{1}{6}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{1}{2}\ cup$

$\frac{1}{12}\ cup$

$\frac{1}{10}\ cup$

$\frac{1}{9}\ cup$

$\frac{2}{6}\ cup$

Correct answer:

$\frac{1}{12}\ cup$

Explanation:

$\frac{1}{6}\times\frac{1}{2}=\frac{1}{12}$

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Example Question #522 : Number & Operations With Fractions

A recipe calls for $\frac{5}{6}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{11}{12}\ cup$

$\frac{1}{12}\ cup$

$\frac{7}{12}\ cup$

$\frac{3}{12}\ cup$

$\frac{5}{12}\ cup$

Correct answer:

$\frac{5}{12}\ cup$

Explanation:

$\frac{5}{6}\times\frac{1}{2}=\frac{5}{12}$

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Example Question #281 : How To Multiply Fractions

A recipe calls for $\frac{2}{9}$ of a cup of flour. If you only want to make half of the recipe, how much flour do you need?

Possible Answers:

$\frac{3}{9}\ cup$

$\frac{1}{9}\ cup$

$\frac{1}{2}\ cup$

$\frac{1}{3}\ cup$

$\frac{2}{3}\ cup$

Correct answer:

$\frac{1}{9}\ cup$

Explanation:

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

Reduce to find your final answer

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

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Example Question #801 : Fractions

Solve:

$\small \frac{5}{6}\times\frac{1}{4}$

Possible Answers:

$\small \frac{5}{25}$

$\small \frac{2}{3}$

$\small \frac{5}{24}$

$\small \frac{1}{6}$

$\small \frac{1}{2}$

Correct answer:

$\small \frac{5}{24}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{5}{6}\times\frac{1}{4}=\frac{5}{24}$

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Example Question #802 : Fractions

Solve:

$\small \frac{1}{3}\times\frac{5}{6}$

Possible Answers:

$\small \frac{5}{18}$

$\small \frac{1}{4}$

$\small \frac{7}{18}$

$\small \frac{1}{2}$

$\small \frac{3}{4}$

Correct answer:

$\small \frac{5}{18}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{1}{3}\times\frac{5}{6}=\frac{5}{18}$

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Example Question #31 : Operations With Fractions And Whole Numbers

Solve:

$\small \frac{4}{8}\times\frac{1}{3}$

Possible Answers:

$\small \frac{1}{3}$

$\small \frac{1}{6}$

$\small \frac{5}{6}$

$\small \frac{2}3{}$

$\small \frac{6}{7}$

Correct answer:

$\small \frac{1}{6}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{4}{8}\times\frac{1}{3}=\frac{4}{24}$

$\small \frac{4}{24}$ can be reduced by dividing both sides by $\small 4$

$\small \frac{4}{24}\div\frac{4}{4}=\frac{1}{6}$

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Example Question #32 : Operations With Fractions And Whole Numbers

Solve:

$\small \frac{4}{8}\times\frac{3}{4}$

Possible Answers:

$\small \frac{1}{2}$

$\small \frac{7}{9}$

$\small \frac{2}{3}$

$\small \frac{1}{4}$

$\small \frac{3}{8}$

Correct answer:

$\small \frac{3}{8}$

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

$\small \small \frac{4}{8}\times\frac{3}{4}=\frac{12}{32}$

$\small \frac{12}{32}$ can be reduced by dividing both sides by $\small 4$

$\small \frac{12}{32}\div\frac{4}{4}=\frac{3}{8}$

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Example Question #805 : Fractions

Rectangle 1

The above rectangle, which is divided into squares of equal size, has area $33 \frac{3}{5}$ . Give the area of the shaded portion of the rectangle.

Possible Answers:

Correct answer:

Explanation:

The area of the rectangle can be rewritten as

$33 \frac{3}{5} = \frac{33 \times 5+ 3}{5} = \frac{165+3}{5} = \frac{168}{5}$

5 out of the 12 segments, or $\frac{5}{12}$ , of the rectangle, is shaded, so the area of the shaded region is

$\frac{5}{12} \times \frac{168}{5}$

Cross-cancelling:

$\frac{1}{1} \times \frac{14}{1}$

= 14

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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 #518 : Number & Operations With Fractions

Example Question #519 : Number & Operations With Fractions

Example Question #521 : Number & Operations With Fractions

Example Question #522 : Number & Operations With Fractions

Example Question #281 : How To Multiply Fractions

Example Question #801 : Fractions

Example Question #802 : Fractions

Example Question #31 : Operations With Fractions And Whole Numbers

Example Question #32 : Operations With Fractions And Whole Numbers

Example Question #805 : Fractions

All SSAT Middle Level Math Resources

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