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SSAT Middle Level Math : How to find the decimal equivalent of a fraction

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Example Questions

Example Question #1301 : Numbers And Operations

Write the decimal equivalent of $\frac{3}{400}$ .

Possible Answers:

0.00625

0.0075

0.006

0.00675

0.009

Correct answer:

0.0075

Explanation:

$\frac{3}{400} = 3 \div 400 = 0.0075$

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Example Question #1302 : Numbers And Operations

Express 0.014 as a fraction in lowest terms.

Possible Answers:

$\frac{7}{2,000}$

$\frac{14}{1,000}$

$\frac{7}{200}$

$\frac{7}{50}$

$\frac{7}{500}$

Correct answer:

$\frac{7}{500}$

Explanation:

The fraction has its last nonzero digit in the thousandths place, so write the number, without the decimal point, over 1,000. Then reduce.

$\frac{14}{1,000} =\frac{14\div 2}{1,000\div 2} = \frac{7}{500}$

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Example Question #1303 : Numbers And Operations

Express $\frac{3}{400}$ as a decimal.

Possible Answers:

0.006

0.0075

0.00625

0.009

0.00675

Correct answer:

0.0075

Explanation:

$\frac{3}{400} = 3 \div 400 = 0.0075$

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Example Question #1304 : Numbers And Operations

Which of the following is NOT equal to $0.5 \bullet 20$ ?

Possible Answers:

$\frac{1}{5} \bullet 50$

$\frac{1}{4} \bullet 40$

$\frac{3}{4} \bullet 16$

$\frac{2}{3} \bullet 15$

$2 \bullet 5$

Correct answer:

$\frac{3}{4} \bullet 16$

Explanation:

All of the answer choices multiply to give you 10 except

$\frac{3}{4} \bullet 16$

so that is the correct answer.

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Example Question #1305 : Numbers And Operations

What fractions equals 0.5 ?

Possible Answers:

$\frac{8}{12}$

$\frac{8}{2}$

$\frac{8}{16}$

$\frac{8}{32}$

$\frac{8}{4}$

Correct answer:

$\frac{8}{16}$

Explanation:

0.5 is equal to $\frac{1}{2}$ .

Thus we are looking for a fraction that reduces to $\frac{1}{2}$ .

$\frac{8}{12}$ reduces to $\frac{2}{3}$ (divide numerator and denominator by 4).

$\frac{8}{4}$ reduces to 2 (divide numerator and denominator by 4).

$\frac{8}{2}$ reduces to 4 (divide numerator and denominator by 2).

$\frac{8}{32}$ reduces $\frac{1}{4}$ (divide numerator and denominator by 4).

$\frac{8}{16}$ is the only one that reduces to $\frac{1}{2}$ (divide numerator and denominator by 8).

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Example Question #1306 : Numbers And Operations

Write as a decimal:

$\frac{5}{9}$

Possible Answers:

$0.\overline{5}$

0.5

$0.5\overline{4}$

$0.\overline{45}$

$0.\overline{54}$

Correct answer:

$0.\overline{5}$

Explanation:

$5 \div 9 = 0.5555...$

That is, the digit 5 will repeat infinitely. This can be written as $0.\overline{5}$ .

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Example Question #1 : How To Find The Decimal Equivalent Of A Fraction

Write as a decimal:

$\frac{9}{11}$

Possible Answers:

0.81

$0.8\overline{1}$

$0.\overline{8}$

$0.\overline{81}$

0.9

Correct answer:

$0.\overline{81}$

Explanation:

$9 \div 11 = 0.81818181...$

That is, the group "81" will repeat infinitely. This quotient can be written as $0.\overline{81}$ .

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Example Question #1307 : Numbers And Operations

Rewrite as a decimal:

$\frac{7}{12}$

Possible Answers:

0.58

$0.\overline{53}$

0.575

$0.58\overline{3}$

$0.5\overline{3}$

Correct answer:

$0.58\overline{3}$

Explanation:

$7 \div 12 = 0.583333...$

That is, after 5 and 8, the digit 3 will repeat infinitely. This can be rewritten as $0.58\overline{3}$ .

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Example Question #2 : How To Find The Decimal Equivalent Of A Fraction

Write as a decimal:

$\frac{5}{18}$

Possible Answers:

$0.\overline{277}$

$0.\overline{27}$

$0.2\overline{7}$

0.2727

0.27

Correct answer:

$0.2\overline{7}$

Explanation:

$5 \div 18 = 0.27777...$

That is, after the 2, the digit 7 repeats infinitely. This can be rewritten as $0.2\overline{7}$ .

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Example Question #1311 : Numbers And Operations

Express $\frac{9}{20}$ as a decimal.

Possible Answers:

0.35

0.36

0.33

0.45

0.27

Correct answer:

0.45

Explanation:

Divide the numerator by the denominator:

$9 \div 20 = 0.45$

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SSAT Middle Level Math : How to find the decimal equivalent of a fraction

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #1301 : Numbers And Operations

Example Question #1302 : Numbers And Operations

Example Question #1303 : Numbers And Operations

Example Question #1304 : Numbers And Operations

Example Question #1305 : Numbers And Operations

Example Question #1306 : Numbers And Operations

Example Question #1 : How To Find The Decimal Equivalent Of A Fraction

Example Question #1307 : Numbers And Operations

Example Question #2 : How To Find The Decimal Equivalent Of A Fraction

Example Question #1311 : Numbers And Operations

All SSAT Middle Level Math Resources

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