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SSAT Middle Level Math : Fractions

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

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All SSAT Middle Level Math Resources

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Example Questions

Example Question #1242 : Numbers And Operations

A recipe calls for $\frac{2}{5}$ $\displaystyle \frac{2}{5}$ of a cup of flour. If you double the recipe, how much flour do you need?

Possible Answers:

$2\frac{2}{5}\ cups$ $\displaystyle 2\frac{2}{5}\ cups$

$\frac{3}{5}\ cup$ $\displaystyle \frac{3}{5}\ cup$

$\frac{4}{5}\ cup$ $\displaystyle \frac{4}{5}\ cup$

$1\frac{2}{5}\ cups$ $\displaystyle 1\frac{2}{5}\ cups$

$\frac{1}{5}\ cup$ $\displaystyle \frac{1}{5}\ cup$

Correct answer:

$\frac{4}{5}\ cup$ $\displaystyle \frac{4}{5}\ cup$

Explanation:

When you multiply a fraction by a whole number, you first want to make the whole number into a fraction. You do that by putting the whole number over $\small 1.$ $\displaystyle \small 1.$ Then multiply the numerator by the numerator and denominator by the denominator.

$\frac{2}{5}\times\frac{2}{1}=\frac{4}{5}$ $\displaystyle \frac{2}{5}\times\frac{2}{1}=\frac{4}{5}$

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Example Question #242 : How To Multiply Fractions

A recipe calls for $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ of a cup of flour. If you double the recipe, how much flour do you need?

Possible Answers:

$1\frac{1}{3}\ cups$ $\displaystyle 1\frac{1}{3}\ cups$

$1\frac{2}{3}\ cups$ $\displaystyle 1\frac{2}{3}\ cups$

$2\frac{1}{3}\ cups$ $\displaystyle 2\frac{1}{3}\ cups$

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

$2\frac{2}{3}\ cups$ $\displaystyle 2\frac{2}{3}\ cups$

Correct answer:

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

Explanation:

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

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Example Question #243 : How To Multiply Fractions

A recipe calls for $\frac{2}{3}$ $\displaystyle \frac{2}{3}$ of a cup of flour. If you double the recipe, how much flour do you need?

Possible Answers:

$2\frac{2}{3}\ cups$ $\displaystyle 2\frac{2}{3}\ cups$

$2\frac{1}{3}\ cups$ $\displaystyle 2\frac{1}{3}\ cups$

$1\frac{1}{3}\ cups$ $\displaystyle 1\frac{1}{3}\ cups$

$1\frac{2}{3}\ cups$ $\displaystyle 1\frac{2}{3}\ cups$

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

Correct answer:

$1\frac{1}{3}\ cups$ $\displaystyle 1\frac{1}{3}\ cups$

Explanation:

$\frac{2}{3}\times\frac{2}{1}=\frac{4}{3}$ $\displaystyle \frac{2}{3}\times\frac{2}{1}=\frac{4}{3}$

Reduce to find your final answer.

$\frac{4}{3}=1\frac{1}{3}$ $\displaystyle \frac{4}{3}=1\frac{1}{3}$

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Example Question #244 : How To Multiply Fractions

A recipe calls for $\frac{1}{4}$ $\displaystyle \frac{1}{4}$ of a cup of flour. If you triple the recipe, how much flour do you need?

Possible Answers:

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

$2\frac{1}{4}\ cups$ $\displaystyle 2\frac{1}{4}\ cups$

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

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

$3\frac{1}{4}\ cups$ $\displaystyle 3\frac{1}{4}\ cups$

Correct answer:

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

Explanation:

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

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Example Question #245 : How To Multiply Fractions

A recipe calls for $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ of a cup of flour. If you triple the recipe, how much flour do you need?

Possible Answers:

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

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

$3\frac{1}{2}\ cups$ $\displaystyle 3\frac{1}{2}\ cups$

$1\frac{1}{2}\ cups$ $\displaystyle 1\frac{1}{2}\ cups$

$2\frac{1}{2}\ cups$ $\displaystyle 2\frac{1}{2}\ cups$

Correct answer:

$1\frac{1}{2}\ cups$ $\displaystyle 1\frac{1}{2}\ cups$

Explanation:

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

Reduce to find your final answer.

$\frac{3}{2}=1\frac{1}{2}$ $\displaystyle \frac{3}{2}=1\frac{1}{2}$

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Example Question #21 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

A recipe calls for $\frac{3}{4}$ $\displaystyle \frac{3}{4}$ of a cup of flour. If you triple the recipe, how much flour do you need?

Possible Answers:

$3\frac{1}{4}\ cups$ $\displaystyle 3\frac{1}{4}\ cups$

$\frac{2}{4}\ cups$ $\displaystyle \frac{2}{4}\ cups$

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

$3\ cups$ $\displaystyle 3\ cups$

$2\frac{1}{4}\ cups$ $\displaystyle 2\frac{1}{4}\ cups$

Correct answer:

$2\frac{1}{4}\ cups$ $\displaystyle 2\frac{1}{4}\ cups$

Explanation:

$\frac{3}{4}\times\frac{3}{1}=\frac{9}{4}$ $\displaystyle \frac{3}{4}\times\frac{3}{1}=\frac{9}{4}$

Reduce to find your final answer.

$\frac{9}{4}=2\frac{1}{4}$ $\displaystyle \frac{9}{4}=2\frac{1}{4}$

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Example Question #22 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

A recipe calls for $\frac{2}{5}$ $\displaystyle \frac{2}{5}$ of a cup of flour. If you triple the recipe, how much flour do you need?

Possible Answers:

$1\frac{2}{5}\ cups$ $\displaystyle 1\frac{2}{5}\ cups$

$3\frac{1}{5}\ cups$ $\displaystyle 3\frac{1}{5}\ cups$

$2\frac{1}{5}\ cups$ $\displaystyle 2\frac{1}{5}\ cups$

$1\frac{1}{5}\ cups$ $\displaystyle 1\frac{1}{5}\ cups$

$1\frac{3}{5}\ cups$ $\displaystyle 1\frac{3}{5}\ cups$

Correct answer:

$1\frac{1}{5}\ cups$ $\displaystyle 1\frac{1}{5}\ cups$

Explanation:

$\frac{2}{5}\times\frac{3}{1}=\frac{6}{5}$ $\displaystyle \frac{2}{5}\times\frac{3}{1}=\frac{6}{5}$

Reduce to find your final answer.

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

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Example Question #23 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

A recipe calls for $\frac{1}{3}$ $\displaystyle \frac{1}{3}$ of a cup of flour. If you triple the recipe, how much flour do you need?

Possible Answers:

$2\ cups$ $\displaystyle 2\ cups$

$3\frac{1}{3}\ cups$ $\displaystyle 3\frac{1}{3}\ cups$

$3\ cups$ $\displaystyle 3\ cups$

$1\ cup$ $\displaystyle 1\ cup$

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

Correct answer:

$1\ cup$ $\displaystyle 1\ cup$

Explanation:

$\frac{1}{3}\times\frac{3}{1}=\frac{3}{3}$ $\displaystyle \frac{1}{3}\times\frac{3}{1}=\frac{3}{3}$

Reduce to find your final answer.

$\frac{3}{3}\div\frac{3}{3}=\frac{1}{1}=1$ $\displaystyle \frac{3}{3}\div\frac{3}{3}=\frac{1}{1}=1$

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Example Question #24 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

A recipe calls for $\frac{2}{3}$ $\displaystyle \frac{2}{3}$ of a cup of flour. If you triple the recipe, how much flour do you need?

Possible Answers:

$1\ cup$ $\displaystyle 1\ cup$

$1\frac{2}{3}\ cups$ $\displaystyle 1\frac{2}{3}\ cups$

$1\frac{1}{3}\ cups$ $\displaystyle 1\frac{1}{3}\ cups$

$3\ cups$ $\displaystyle 3\ cups$

$2\ cups$ $\displaystyle 2\ cups$

Correct answer:

$2\ cups$ $\displaystyle 2\ cups$

Explanation:

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

Reduce to find your final answer.

$\frac{6}{3}=2$ $\displaystyle \frac{6}{3}=2$

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Example Question #1912 : Ssat Middle Level Quantitative (Math)

Mary is trying out for the track team this year. On Monday she ran $\displaystyle 12$ laps. On Tuesday she runs $1\tfrac{1}{2}$ $\displaystyle 1\tfrac{1}{2}$ times as many laps as she did on Monday. How many laps does she run on Tuesday?

Possible Answers:

$20\ laps$ $\displaystyle 20\ laps$

$18\ laps$ $\displaystyle 18\ laps$

$26\ laps$ $\displaystyle 26\ laps$

$6\ laps$ $\displaystyle 6\ laps$

$24\ laps$ $\displaystyle 24\ laps$

Correct answer:

$18\ laps$ $\displaystyle 18\ laps$

Explanation:

First, you need to change the mixed number into an improper fraction. To do this, you multiply the denominator by the whole number, then add the numerator. That number becomes the numerator of your improper fraction. The denominator stays the same.

$1\frac{1}{2}=\frac{3}{2}$ $\displaystyle 1\frac{1}{2}=\frac{3}{2}$

Then put your whole number over $\displaystyle 1$ to make it a fraction, and multiply like normal.

$\frac{12}{1}\times\frac{3}{2}=\frac{36}{2}$ $\displaystyle \frac{12}{1}\times\frac{3}{2}=\frac{36}{2}$

Finally, reduce to find your final answer.

$\frac{36}{2}=18$ $\displaystyle \frac{36}{2}=18$

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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 #1242 : Numbers And Operations

Example Question #242 : How To Multiply Fractions

Example Question #243 : How To Multiply Fractions

Example Question #244 : How To Multiply Fractions

Example Question #245 : How To Multiply Fractions

Example Question #21 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #22 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #23 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #24 : Solve Real World Problems Involving Multiplication Of Fractions And Mixed Numbers: Ccss.Math.Content.5.Nf.B.6

Example Question #1912 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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