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SSAT Middle Level Math : How to divide 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 #41 : Fractions

$\small \frac{8}{9}\div2$

Possible Answers:

$\small \frac{1}{8}$

$\small \frac{3}{7}$

$\small \frac{2}{5}$

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

$\small \frac{4}{9}$

Correct answer:

$\small \frac{4}{9}$

Explanation:

$\small \frac{8}{9}\div2$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{8}{9}\times\frac{1}{2}=\frac{8}{18}$

$\small \frac{8}{18}$ can be reduced by dividing both sides by $\small 2.$

$\small \frac{8}{18}\div\frac{2}{2}=\frac{4}{9}$

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Example Question #42 : Fractions

$\small \frac{5}{6}\div7$

Possible Answers:

$\small \frac{3}{17}$

$\small \frac{5}{19}$

$\small \frac{7}{38}$

$\small \frac{4}{43}$

$\small \frac{5}{42}$

Correct answer:

$\small \frac{5}{42}$

Explanation:

$\small \frac{5}{6}\div7$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{5}{6}\times\frac{1}{7}=\frac{5}{42}$

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Example Question #43 : Fractions

$\small \frac{3}{8}\div5$

Possible Answers:

$\small \frac{3}{40}$

$\small \frac{2}{17}$

$\small \frac{4}{39}$

$\small \frac{1}{8}$

$\small \frac{5}{19}$

Correct answer:

$\small \frac{3}{40}$

Explanation:

$\small \frac{3}{8}\div5$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{3}{8}\times\frac{1}{5}=\frac{3}{40}$

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Example Question #44 : Fractions

$\small \frac{4}{5}\div3$

Possible Answers:

$\small \frac{4}{15}$

$\small \frac{9}{11}$

$\small \frac{5}{8}$

$\small \frac{2}{13}$

$\small \frac{12}{5}$

Correct answer:

$\small \frac{4}{15}$

Explanation:

$\small \frac{4}{5}\div3$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{4}{5}\times\frac{1}{3}=\frac{4}{15}$

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Example Question #45 : Fractions

$\small \small \frac{1}{6}\div7$

Possible Answers:

$\small \frac{2}{42}$

$\small \frac{1}{49}$

$\small \frac{5}{37}$

$\small \frac{3}{29}$

$\small \frac{1}{42}$

Correct answer:

$\small \frac{1}{42}$

Explanation:

$\small \small \frac{1}{6}\div7$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

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

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Example Question #46 : Fractions

$\small \frac{3}{7}\div4$

Possible Answers:

$\small \frac{3}{28}$

$\small \frac{4}{27}$

$\small \frac{7}{12}$

$\small \frac{12}{7}$

$\small \frac{9}{31}$

Correct answer:

$\small \frac{3}{28}$

Explanation:

$\small \frac{3}{7}\div4$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{3}{7}\times\frac{1}{4}=\frac{3}{28}$

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Example Question #47 : Fractions

$\small \frac{4}{9}\div5$

Possible Answers:

$\small \frac{9}{20}$

$\small \frac{5}{39}$

$\small \frac{20}9{}$

$\small \frac{4}{45}$

$\small \frac{7}{41}$

Correct answer:

$\small \frac{4}{45}$

Explanation:

$\small \frac{4}{9}\div5$

To divide fractions, we multiply by the reciprocal. In order to find the reciprocal, we simply flip the fraction over. The numerator becomes the denominator and the denominator becomes the numerator.

$\small \frac{4}{9}\times\frac{1}{5}=\frac{4}{45}$

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Example Question #1191 : Ssat Middle Level Quantitative (Math)

Simplify the expression.

$\frac{3}{4}\div \frac{1}{2}$

Possible Answers:

$\frac{3}{2}$

$\frac{1}{3}$

$\frac{3}{6}$

$\frac{3}{8}$

$\frac{5}{4}$

Correct answer:

$\frac{3}{2}$

Explanation:

When dividing fractions you can simply mulitply the reciprocal of one of the fractions to the other. For example:

$\frac{3}{4}\div \frac{1}{2}= \frac{3}{4}\times \frac{2}{1}= \frac{6}{4}=\frac{3}{2}$

So we in the above case we took the reciprocal of 1/2 which is 2.

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Example Question #1 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

$\small 4$ people are sharing a $\small 23$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 6$ and $\small 7$

and $\small 6$

$\small 3$ and $\small 4$

$\small 4$ and $\small 5$

$\small 2$ and $\small 3$

Correct answer:

and $\small 6$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{23}{4}=5\frac{3}4{}$

$\small 4$ can go into $\small 23$ only $\small 5$ times with $\small \frac{3}{4}$ left over.

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Example Question #2 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

$\small 6$ people are sharing a $\small \small 37$ pound bag of peanuts. How much will each person get? Select the answer with the pair of numbers that the answer will be between.

Possible Answers:

$\small 8$ and $\small 9$

$\small 5$ and $\small 6$

$\small 6$ and $\small 7$

$\small 7$ and $\small 8$

$\small 4$ and $\small 5$

Correct answer:

$\small 6$ and $\small 7$

Explanation:

We can think of this problem as an improper fraction and solve for the mixed number.

$\small \frac{37}{6}=6\frac{1}{6}$

$\small 6$ can go into $\small 37$ only $\small 6$ times with $\small \frac{1}{6}$ left over.

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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 #41 : Fractions

Example Question #42 : Fractions

Example Question #43 : Fractions

Example Question #44 : Fractions

Example Question #45 : Fractions

Example Question #46 : Fractions

Example Question #47 : Fractions

Example Question #1191 : Ssat Middle Level Quantitative (Math)

Example Question #1 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

Example Question #2 : Solve Word Problems Involving Division Of Whole Numbers Leading To Answers In The Form Of Fractions Or Mixed Numbers: Ccss.Math.Content.5.Nf.B.3

All SSAT Middle Level Math Resources

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