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SSAT Upper Level Math : Number Concepts and Operations

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

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #7 : How To Find The Fractional Equivalent Of A Decimal

Convert 0.875 into a fraction.

Possible Answers:

$\frac{8}{9}$

$\frac{7}{8}$

$\frac{4}{5}$

$\frac{3}{4}$

Correct answer:

$\frac{7}{8}$

Explanation:

Write the decimal divided by .

$0.875=\frac{0.875}{1}$

Multiply the numerator and denominator by 1000 to get rid of the decimal, then simplify.

$\frac{0.875\times1000}{1\times1000}=\frac{875}{1000}=\frac{7}{8}$

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Example Question #261 : Rational Numbers

Express 0.988 as a fraction.

Possible Answers:

$\frac{49}{50}$

$\frac{250}{257}$

$\frac{247}{250}$

$\frac{47}{50}$

Correct answer:

$\frac{247}{250}$

Explanation:

Write the decimal divided by .

$0.988=\frac{0.988}{1}$

Multiply the numerator and denominator by 1000 to get rid of the decimal, then simplify.

$\frac{0.988\times1000}{1\times1000}=\frac{988}{1000}=\frac{247}{250}$

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Example Question #262 : Rational Numbers

Find the fractional equivalent of 0.9375 .

Possible Answers:

$\frac{9}{16}$

$\frac{12}{13}$

$\frac{15}{16}$

$\frac{13}{16}$

Correct answer:

$\frac{15}{16}$

Explanation:

Write the decimal divided by .

$0.9375=\frac{0.9375}{1}$

Multiply the numerator and denominator by 10000 to get rid of the decimal, then simplify.

$\frac{0.9375\times10000}{1\times10000}=\frac{9375}{10000}=\frac{15}{16}$

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Example Question #263 : Rational Numbers

Find the fractional equivalent of 0.1225 .

Possible Answers:

$\frac{49}{400}$

$\frac{49}{250}$

$\frac{49}{500}$

$\frac{49}{100}$

Correct answer:

$\frac{49}{400}$

Explanation:

Write the decimal divided by .

$0.1225=\frac{0.1225}{1}$

Multiply the numerator and denominator by 10000 to get rid of the decimal, then simplify.

$\frac{0.1225\times10000}{1\times10000}=\frac{1225}{10000}=\frac{49}{400}$

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Example Question #11 : How To Find The Fractional Equivalent Of A Decimal

Find the fractional equivalent of 0.05 .

Possible Answers:

$\frac{1}{10}$

$\frac{1}{50}$

$\frac{1}{30}$

$\frac{1}{20}$

Correct answer:

$\frac{1}{20}$

Explanation:

Write the decimal divided by .

$0.05=\frac{0.05}{1}$

Multiply the numerator and denominator by 100 to get rid of the decimal, then simplify.

$\frac{0.05\times100}{1\times100}=\frac{5}{100}=\frac{1}{20}$

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Example Question #12 : How To Find The Fractional Equivalent Of A Decimal

What is 0.125 as a fraction?

Possible Answers:

$\frac{3}{8}$

$\frac{1}{8}$

$\frac{2}{5}$

$\frac{1}{6}$

Correct answer:

$\frac{1}{8}$

Explanation:

Write the decimal divided by .

$0.125=\frac{0.125}{1}$

Multiply the numerator and denominator by 1000 to get rid of the decimal, then simplify.

$\frac{0.125\times1000}{1\times1000}=\frac{125}{1000}=\frac{1}{8}$

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Example Question #266 : Rational Numbers

Convert 0.652 into a fraction.

Possible Answers:

$\frac{81}{125}$

$\frac{163}{250}$

$\frac{7}{25}$

$\frac{13}{100}$

Correct answer:

$\frac{163}{250}$

Explanation:

Write the decimal divided by .

$0.652=\frac{0.652}{1}$

Multiply the numerator and denominator by 1000 to get rid of the decimal, then simplify.

$\frac{0.652\times1000}{1\times1000}=\frac{652}{1000}=\frac{163}{250}$

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Example Question #261 : Rational Numbers

Rewrite as a fraction with whole numerator and denominator in lowest terms:

$\frac{3.5}{2.1}$

Possible Answers:

$\frac{5}{3}$

None of the other responses is correct.

$\frac{11}{6}$

$\frac{9}{5}$

$\frac{10}{7}$

Correct answer:

$\frac{5}{3}$

Explanation:

$\frac{3.5}{2.1} = \frac{3.5 \times 10}{2.1 \times 10} = \frac{35}{21} = \frac{35 \div 7}{21\div 7} = \frac{5}{3}$

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Example Question #262 : Rational Numbers

Rewrite as a fraction with whole numerator and denominator in lowest terms:

$\frac{1.28}{0.4}$

Possible Answers:

$\frac{18}{7}$

$\frac{14}{3}$

$\frac{16}{5}$

None of the other responses is correct.

$\frac{15}{4}$

Correct answer:

$\frac{16}{5}$

Explanation:

Simplify as follows:

$\frac{1.28}{0.4} = \frac{1.28 \times 100}{0.4 \times 100} = \frac{128}{40} = \frac{128 \div 8}{40 \div 8} = \frac{16}{5}$

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Example Question #2 : Decimals

Simplify:

$0.35+\frac{0.75}{0.2}-0.4*\frac{0.5}{0.1}$

Possible Answers:

$\frac{30}{7}$

$\frac{25}{4}$

$\frac{213}{10}$

$\frac{21}{10}$

Correct answer:

$\frac{21}{10}$

Explanation:

Begin by multiplying all of your decimal fractions by $\frac{100}{100}$ :

$0.35+\frac{0.75}{0.2}*\frac{100}{100}-0.4*\frac{0.5}{0.1}*\frac{100}{100}$

Simplify:

$0.35+\frac{75}{20}-0.4*\frac{50}{10}=0.35+\frac{15}{4}-0.4*5$

Now perform the multiplication:

$0.35+\frac{15}{4}-2$

The easiest thing to do next is to subtract from 0.35 :

$0.35+\frac{15}{4}-2=\frac{15}{4}-1.65$

Next, convert 1.65 into the fraction $\frac{165}{100}$ :

$\frac{15}{4}-\frac{165}{100}$

Now, the common denominator can be 100 :

$\frac{15}{4}*\frac{25}{25}-\frac{165}{100}=\frac{375}{100}-\frac{165}{100}$

Simplify:

$\frac{375}{100}-\frac{165}{100}=\frac{210}{100}=\frac{21}{10}$

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SSAT Upper Level Math : Number Concepts and Operations

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #7 : How To Find The Fractional Equivalent Of A Decimal

Example Question #261 : Rational Numbers

Example Question #262 : Rational Numbers

Example Question #263 : Rational Numbers

Example Question #11 : How To Find The Fractional Equivalent Of A Decimal

Example Question #12 : How To Find The Fractional Equivalent Of A Decimal

Example Question #266 : Rational Numbers

Example Question #261 : Rational Numbers

Example Question #262 : Rational Numbers

Example Question #2 : Decimals

All SSAT Upper Level Math Resources

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