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SSAT Middle Level Math : How to divide fractions

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Example Questions

Example Question #571 : Numbers And Operations

How many $\frac{1}{7}\ cup$ $\displaystyle \frac{1}{7}\ cup$ servings are in $\displaystyle 9$ cups of sugar?

Possible Answers:

$\displaystyle 63$

$\displaystyle 72$

$\displaystyle 64$

$\displaystyle 75$

$\displaystyle 81$

Correct answer:

$\displaystyle 63$

Explanation:

Because we want to know how many $\frac{1}{7}\ cup$ $\displaystyle \frac{1}{7}\ cup$ servings are in $\displaystyle 9$ cups, we are dividing $\displaystyle 9$ by $\frac{1}{7}$ $\displaystyle \frac{1}{7}$.

Remember, whenever we divide by a fraction, we multiply by the reciprocal

$\frac{9}{1}\times\frac{7}{1}=\frac{63}{1}=63$ $\displaystyle \frac{9}{1}\times\frac{7}{1}=\frac{63}{1}=63$

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Example Question #2 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Sally has $\frac{1}{2}lb$ $\displaystyle \frac{1}{2}lb$ of gummy candies that she wants to divide evenly into $\displaystyle 13$ bags. How much will each bag of gummy candies weigh?

Possible Answers:

$\frac{1}{26}lb$ $\displaystyle \frac{1}{26}lb$

$\frac{13}{2}lb$ $\displaystyle \frac{13}{2}lb$

$\frac{1}{13}lb$ $\displaystyle \frac{1}{13}lb$

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

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

Correct answer:

$\frac{1}{26}lb$ $\displaystyle \frac{1}{26}lb$

Explanation:

We are splitting $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ into $\displaystyle 13$ equal groups, so we are dividing $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ by $\displaystyle 13$.

To solve $\frac{1}{2}\div13$ $\displaystyle \frac{1}{2}\div13$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{13}=\frac{1}{26}$ $\displaystyle \frac{1}{2}\times\frac{1}{13}=\frac{1}{26}$

1 26

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Example Question #91 : How To Divide Fractions

Jessie has $\frac{1}{2}lb$ $\displaystyle \frac{1}{2}lb$ of gummy candies that she wants to divide evenly into $\displaystyle 2$ bags. How much will each bag of gummy candies weigh?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

We are splitting $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ into $\displaystyle 2$ equal groups, so we are dividing $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ by $\displaystyle 2$.

To solve $\frac{1}{2}\div2$ $\displaystyle \frac{1}{2}\div2$ we multiply by the reciprocal.

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

1 4

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Example Question #4 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Jessie has $\frac{1}{2}lb$ $\displaystyle \frac{1}{2}lb$ of gummy candies that she wants to divide evenly into $\displaystyle 12$ bags. How much will each bag of gummy candies weigh?

Possible Answers:

$\frac{1}{12}lb$ $\displaystyle \frac{1}{12}lb$

$\frac{2}{12}lb$ $\displaystyle \frac{2}{12}lb$

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

$\frac{1}{24}lb$ $\displaystyle \frac{1}{24}lb$

$\frac{12}{2}lb$ $\displaystyle \frac{12}{2}lb$

Correct answer:

$\frac{1}{24}lb$ $\displaystyle \frac{1}{24}lb$

Explanation:

We are splitting $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ into $\displaystyle 12$ equal groups, so we are dividing $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ by $\displaystyle 12$.

To solve $\frac{1}{2}\div12$ $\displaystyle \frac{1}{2}\div12$ we multiply by the reciprocal.

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

1 24

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Example Question #92 : How To Divide Fractions

Erica has $\frac{1}{2}lb$ $\displaystyle \frac{1}{2}lb$ of gummy candies that she wants to divide evenly into $\displaystyle 11$ bags. How much will each bag of gummy candies weigh?

Possible Answers:

$\frac{1}{12}lb$ $\displaystyle \frac{1}{12}lb$

$\frac{1}{11}lb$ $\displaystyle \frac{1}{11}lb$

$\frac{11}{}2lb$ $\displaystyle \frac{11}{}2lb$

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

$\frac{1}{22}lb$ $\displaystyle \frac{1}{22}lb$

Correct answer:

$\frac{1}{22}lb$ $\displaystyle \frac{1}{22}lb$

Explanation:

We are splitting $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ into $\displaystyle 11$ equal groups, so we are dividing $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ by $\displaystyle 11$.

To solve $\frac{1}{2}\div11$ $\displaystyle \frac{1}{2}\div11$ we multiply by the reciprocal.

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

1 22

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Example Question #6 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Sally has $\frac{1}{2}lb$ $\displaystyle \frac{1}{2}lb$ of gummy candies that she wants to divide evenly into $\displaystyle 10$ bags. How much will each bag of gummy candies weigh?

Possible Answers:

$\frac{10}{2}lb$ $\displaystyle \frac{10}{2}lb$

$\frac{1}{10}lb$ $\displaystyle \frac{1}{10}lb$

$\frac{1}{20}lb$ $\displaystyle \frac{1}{20}lb$

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

$\frac{2}{10}lb$ $\displaystyle \frac{2}{10}lb$

Correct answer:

$\frac{1}{20}lb$ $\displaystyle \frac{1}{20}lb$

Explanation:

We are splitting $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ into $\displaystyle 10$ equal groups, so we are dividing $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ by $\displaystyle 10$.

To solve $\frac{1}{2}\div10$ $\displaystyle \frac{1}{2}\div10$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{10}=\frac{1}{20}$ $\displaystyle \frac{1}{2}\times\frac{1}{10}=\frac{1}{20}$

1 20

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

Melissa has $\frac{1}{2}lb$ $\displaystyle \frac{1}{2}lb$ of gummy candies that she wants to divide evenly into $\displaystyle 9$ bags. How much will each bag of gummy candies weigh?

Possible Answers:

$\frac{1}{12}lb$ $\displaystyle \frac{1}{12}lb$

$\frac{9}{8}lb$ $\displaystyle \frac{9}{8}lb$

$\frac{1}{18}lb$ $\displaystyle \frac{1}{18}lb$

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

$\frac{18}{2}lb$ $\displaystyle \frac{18}{2}lb$

Correct answer:

$\frac{1}{18}lb$ $\displaystyle \frac{1}{18}lb$

Explanation:

We are splitting $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ into $\displaystyle 9$ equal groups, so we are dividing $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ by $\displaystyle 9$.

To solve $\frac{1}{2}\div9$ $\displaystyle \frac{1}{2}\div9$ we multiply by the reciprocal.

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

1 18

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Example Question #8 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Melissa has $\frac{1}{2}lb$ $\displaystyle \frac{1}{2}lb$ of gummy candies that she wants to divide evenly into $\displaystyle 8$ bags. How much will each bag of gummy candies weigh?

Possible Answers:

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

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

$\frac{1}{16}lb$ $\displaystyle \frac{1}{16}lb$

$\frac{16}{2}lb$ $\displaystyle \frac{16}{2}lb$

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

Correct answer:

$\frac{1}{16}lb$ $\displaystyle \frac{1}{16}lb$

Explanation:

We are splitting $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ into $\displaystyle 8$ equal groups, so we are dividing $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ by $\displaystyle 8$.

To solve $\frac{1}{2}\div8$ $\displaystyle \frac{1}{2}\div8$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{8}=\frac{1}{16}$ $\displaystyle \frac{1}{2}\times\frac{1}{8}=\frac{1}{16}$

1 16

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Example Question #10 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Melissa has $\frac{1}{2}lb$ $\displaystyle \frac{1}{2}lb$ of gummy candies that she wants to divide evenly into $\displaystyle 6$ bags. How much will each bag of gummy candies weigh?

Possible Answers:

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

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

$\frac{1}{12}lb$ $\displaystyle \frac{1}{12}lb$

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

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

Correct answer:

$\frac{1}{12}lb$ $\displaystyle \frac{1}{12}lb$

Explanation:

We are splitting $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ into $\displaystyle 6$ equal groups, so we are dividing $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ by $\displaystyle 6$.

To solve $\frac{1}{2}\div6$ $\displaystyle \frac{1}{2}\div6$ we multiply by the reciprocal.

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

1 12

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Example Question #91 : How To Divide Fractions

Erica has $\frac{1}{2}lb$ $\displaystyle \frac{1}{2}lb$ of gummy candies that she wants to divide evenly into $\displaystyle 5$ bags. How much will each bag of gummy candies weigh?

Possible Answers:

$\frac{1}{10}lb$ $\displaystyle \frac{1}{10}lb$

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

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

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

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

Correct answer:

$\frac{1}{10}lb$ $\displaystyle \frac{1}{10}lb$

Explanation:

We are splitting $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ into $\displaystyle 5$ equal groups, so we are dividing $\frac{1}{2}$ $\displaystyle \frac{1}{2}$ by $\displaystyle 5$.

To solve $\frac{1}{2}\div5$ $\displaystyle \frac{1}{2}\div5$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{5}=\frac{1}{10}$ $\displaystyle \frac{1}{2}\times\frac{1}{5}=\frac{1}{10}$

1 10

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SSAT Middle Level Math : How to divide fractions

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #571 : Numbers And Operations

Example Question #2 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #91 : How To Divide Fractions

Example Question #4 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #92 : How To Divide Fractions

Example Question #6 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

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

Example Question #8 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #10 : Interpret Division Of A Unit Fraction By A Whole Number : Ccss.Math.Content.5.Nf.B.7a

Example Question #91 : How To Divide Fractions

All SSAT Middle Level Math Resources

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