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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

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

Example Questions

Example Question #23 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Tom has $\displaystyle 8$ gallons of soda. Each glass holds $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ of a gallon. How many glasses can he fill?

Possible Answers:

$\displaystyle 60$

$\displaystyle 48$

$\displaystyle 42$

$\displaystyle 54$

$\displaystyle 66$

Correct answer:

$\displaystyle 48$

Explanation:

Think: How many $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ s are in $\displaystyle 8$ wholes?

To solve $8\div\frac{1}{6}$ $\displaystyle 8\div\frac{1}{6}$ we multiply by the reciprocal

$\frac{8}{1}\times\frac{6}{1}=\frac{48}{1}=48$ $\displaystyle \frac{8}{1}\times\frac{6}{1}=\frac{48}{1}=48$

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Example Question #601 : Number & Operations With Fractions

Tom has $\displaystyle 7$ gallons of soda. Each glass holds $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ of a gallon. How many glasses can he fill?

Possible Answers:

$\displaystyle 60$

$\displaystyle 54$

$\displaystyle 66$

$\displaystyle 42$

$\displaystyle 48$

Correct answer:

$\displaystyle 42$

Explanation:

Think: How many $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ s are in $\displaystyle 7$ wholes?

To solve $7\div\frac{1}{6}$ $\displaystyle 7\div\frac{1}{6}$ we multiply by the reciprocal

$\frac{7}{1}\times\frac{6}{1}=\frac{42}{1}=42$ $\displaystyle \frac{7}{1}\times\frac{6}{1}=\frac{42}{1}=42$

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Example Question #32 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

John has $\displaystyle 6$ gallons of soda. Each glass holds $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ of a gallon. How many glasses can he fill?

Possible Answers:

$\displaystyle 18$

$\displaystyle 24$

$\displaystyle 30$

$\displaystyle 36$

$\displaystyle 12$

Correct answer:

$\displaystyle 36$

Explanation:

Think: How many $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ s are in $\displaystyle 6$ wholes?

To solve $6\div\frac{1}{6}$ $\displaystyle 6\div\frac{1}{6}$ we multiply by the reciprocal

$\frac{6}{1}\times\frac{6}{1}=\frac{36}{1}=36$ $\displaystyle \frac{6}{1}\times\frac{6}{1}=\frac{36}{1}=36$

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Example Question #1452 : Common Core Math: Grade 5

John has $\displaystyle 5$ gallons of soda. Each glass holds $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ of a gallon. How many glasses can he fill?

Possible Answers:

$\displaystyle 24$

$\displaystyle 18$

$\displaystyle 36$

$\displaystyle 15$

$\displaystyle 30$

Correct answer:

$\displaystyle 30$

Explanation:

Think: How many $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ s are in $\displaystyle 5$ wholes?

To solve $5\div\frac{1}{6}$ $\displaystyle 5\div\frac{1}{6}$ we multiply by the reciprocal

$\frac{5}{1}\times\frac{6}{1}=\frac{30}{1}=30$ $\displaystyle \frac{5}{1}\times\frac{6}{1}=\frac{30}{1}=30$

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Example Question #145 : Fractions

Steve has $\displaystyle 4$ gallons of soda. Each glass holds $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ of a gallon. How many glasses can he fill?

Possible Answers:

$\displaystyle 12$

$\displaystyle 24$

$\displaystyle 36$

$\displaystyle 30$

$\displaystyle 18$

Correct answer:

$\displaystyle 24$

Explanation:

Think: How many $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ s are in $\displaystyle 4$ wholes?

To solve $4\div\frac{1}{6}$ $\displaystyle 4\div\frac{1}{6}$ we multiply by the reciprocal

$\frac{4}{1}\times\frac{6}{1}=\frac{24}{1}=24$ $\displaystyle \frac{4}{1}\times\frac{6}{1}=\frac{24}{1}=24$

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Example Question #31 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Steve has $\displaystyle 1$ gallon of soda. Each glass holds $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ of a gallon. How many glasses can he fill?

Possible Answers:

$\displaystyle 12$

$\displaystyle 1$

$\displaystyle 6$

$\displaystyle 24$

$\displaystyle 18$

Correct answer:

$\displaystyle 6$

Explanation:

Think: How many $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ s are in $\displaystyle 1$ whole?

To solve $1\div\frac{1}{6}$ $\displaystyle 1\div\frac{1}{6}$ we multiply by the reciprocal

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

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Example Question #147 : Fractions

Brian has $\displaystyle 2$ gallons of soda. Each glass holds $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ of a gallon. How many glasses can he fill?

Possible Answers:

$\displaystyle 30$

$\displaystyle 12$

$\displaystyle 18$

$\displaystyle 36$

$\displaystyle 24$

Correct answer:

$\displaystyle 12$

Explanation:

Think: How many $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ s are in $\displaystyle 2$ wholes?

To solve $2\div\frac{1}{6}$ $\displaystyle 2\div\frac{1}{6}$ we multiply by the reciprocal

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

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Example Question #1461 : Common Core Math: Grade 5

Brian has $\displaystyle 3$ gallons of soda. Each glass holds $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ of a gallon. How many glasses can he fill?

Possible Answers:

$\displaystyle 30$

$\displaystyle 18$

$\displaystyle 36$

$\displaystyle 12$

$\displaystyle 24$

Correct answer:

$\displaystyle 18$

Explanation:

Think: How many $\frac{1}{6}$ $\displaystyle \frac{1}{6}$ s are in $\displaystyle 3$ wholes?

To solve $3\div\frac{1}{6}$ $\displaystyle 3\div\frac{1}{6}$ we multiply by the reciprocal

$\frac{3}{1}\times\frac{6}{1}=\frac{18}{1}=18$ $\displaystyle \frac{3}{1}\times\frac{6}{1}=\frac{18}{1}=18$

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Example Question #142 : How To Divide Fractions

Kate has $\displaystyle 12$ gallons of water. Each water bottle holds $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ of a gallon. How many water bottles can she fill?

Possible Answers:

$\displaystyle 30$

$\displaystyle 26$

$\displaystyle 24$

$\displaystyle 28$

$\displaystyle 22$

Correct answer:

$\displaystyle 24$

Explanation:

Think: How many $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ s are in $\displaystyle 12$ wholes?

To solve $12\div\frac{1}{2}$ $\displaystyle 12\div\frac{1}{2}$ we multiply by the reciprocal

$\frac{12}{1}\times\frac{2}{1}=\frac{24}{1}=24$ $\displaystyle \frac{12}{1}\times\frac{2}{1}=\frac{24}{1}=24$

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Example Question #143 : How To Divide Fractions

Kate has $\displaystyle 11$ gallons of water. Each water bottle holds $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ of a gallon. How many water bottles can she fill?

Possible Answers:

$\displaystyle 30$

$\displaystyle 26$

$\displaystyle 28$

$\displaystyle 22$

$\displaystyle 24$

Correct answer:

$\displaystyle 22$

Explanation:

Think: How many $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ s are in $\displaystyle 11$ wholes?

To solve $11\div\frac{1}{2}$ $\displaystyle 11\div\frac{1}{2}$ we multiply by the reciprocal

$\frac{11}{1}\times\frac{2}{1}=\frac{22}{1}=22$ $\displaystyle \frac{11}{1}\times\frac{2}{1}=\frac{22}{1}=22$

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All SSAT Middle Level Math Resources

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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 #23 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #601 : Number & Operations With Fractions

Example Question #32 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #1452 : Common Core Math: Grade 5

Example Question #145 : Fractions

Example Question #31 : Interpret Division Of A Whole Number By A Unit Fraction: Ccss.Math.Content.5.Nf.B.7b

Example Question #147 : Fractions

Example Question #1461 : Common Core Math: Grade 5

Example Question #142 : How To Divide Fractions

Example Question #143 : How To Divide Fractions

All SSAT Middle Level Math Resources

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