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ISEE Middle Level Math : Fractions

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

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All ISEE Middle Level Math Resources

6 Diagnostic Tests 303 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #411 : Fractions

Divide the following:

$\frac{8}{9} \div 12$

Possible Answers:

$\frac{4}{5}$

$\frac{7}{8}$

$\frac{2}{27}$

$\frac{3}{5}$

Correct answer:

$\frac{2}{27}$

Explanation:

To divide fractions, we will take the first fraction and multiply by the reciprocal of the second fraction. So, we get

$\frac{8}{9} \cdot \frac{1}{12}$

We will simplify before we multiply to make things easier. The 8 and the 12 can both be divided by 4. We get

$\frac{2}{9} \cdot \frac{1}{3}$

$\frac{2 \cdot 1}{9 \cdot 3}$

$\frac{2}{27}$

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Example Question #412 : Fractions

Divide the following:

$\frac{8}{9} \div \frac{1}{4}$

Possible Answers:

$\frac{32}{9}$

$\frac{8}{3}$

$\frac{4}{9}$

$\frac{2}{3}$

Correct answer:

$\frac{32}{9}$

Explanation:

To divide, we will multiply the first fraction by the reciprocal of the second fraction. To find the reciprocal, the numerator becomes the denominator, and the denominator becomes the numerator (in other words, we will flip the fraction).

We get

$\frac{8}{9} \div \frac{1}{4}$

$\frac{8}{9} \cdot \frac{4}{1}$

$\frac{8 \cdot 4}{9 \cdot 1}$

$\frac{32}{9}$

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Example Question #413 : Fractions

Divide the following:

$\frac{4}{5} \div \frac{1}{2}$

Possible Answers:

$\frac{2}{10}$

$\frac{5}{8}$

$\frac{4}{10}$

$\frac{8}{5}$

$\frac{2}{5}$

Correct answer:

$\frac{8}{5}$

Explanation:

To divide fractions, we will take the first fraction and multiply it by the reciprocal of the second fraction.

To find the reciprocal, the numerator will become the denominator, and the denominator will become the numerator. In other words, we will flip the fraction.

So, we get

$\frac{4}{5} \div \frac{1}{2}$

$\frac{4}{5} \cdot \frac{2}{1}$

$\frac{4 \cdot 2}{5 \cdot 1}$

$\frac{8}{5}$

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Example Question #414 : Fractions

Divide the following:

$\frac{8}{9} \div \frac{1}{2}$

Possible Answers:

$\frac{8}{4.5}$

$\frac{4}{9}$

$\frac{1}{2}$

$\frac{16}{9}$

$\frac{8}{18}$

Correct answer:

$\frac{16}{9}$

Explanation:

To divide fractions, we will take the first fraction and multiply it by the reciprocal of the second fraction. To find the reciprocal, the numerator will become the denominator, and the denominator will become the numerator. In other words, we will flip the fraction. So, we get

$\frac{8}{9} \div \frac{1}{2}$

$\frac{8}{9} \cdot \frac{2}{1}$

$\frac{8 \cdot 2}{9 \cdot 1}$

$\frac{16}{9}$

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Example Question #415 : Fractions

Divide the following:

$\frac{9}{10} \div \frac{1}{2}$

Possible Answers:

$\frac{3}{5}$

$\frac{9}{20}$

$\frac{4}{5}$

$\frac{9}{5}$

Correct answer:

$\frac{9}{5}$

Explanation:

To divide fractions, we will take the first fraction and multiply it by the reciprocal of the second fraction. To find the reciprocal of a fraction, the numerator will become the denominator, and the denominator will become the numerator. In other words, we will flip the fraction.

So, we get

$\frac{9}{10} \div \frac{1}{2}$

$\frac{9}{10} \cdot \frac{2}{1}$

$\frac{9 \cdot 2}{10 \cdot 1}$

$\frac{18}{10}$

$\frac{9}{5}$

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Example Question #561 : Numbers And Operations

Divide the following:

$\frac{6}{8} \div \frac{1}{2}$

Possible Answers:

$\frac{1}{2}$

$\frac{3}{8}$

$\frac{3}{4}$

$\frac{6}{8}$

$\frac{3}{2}$

Correct answer:

$\frac{3}{2}$

Explanation:

So, we get

$\frac{6}{8} \div \frac{1}{2}$

$\frac{6}{8} \cdot \frac{2}{1}$

$\frac{6 \cdot 2}{8 \cdot 1}$

$\frac{12}{8}$

$\frac{6}{4}$

$\frac{3}{2}$

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All ISEE Middle Level Math Resources

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ISEE Middle Level Math : Fractions

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

All ISEE Middle Level Math Resources

Example Questions

Example Question #411 : Fractions

Example Question #412 : Fractions

Example Question #413 : Fractions

Example Question #414 : Fractions

Example Question #415 : Fractions

Example Question #561 : Numbers And Operations

All ISEE Middle Level Math Resources

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