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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 #11 : How To Find The Decimal Equivalent Of A Fraction

Which of the following fractions is closest to 0.6?

Possible Answers:

$\frac{13}{20}$

$\frac{4}{7}$

$\frac{5}{8}$

$\frac{9}{16}$

$\frac{2}{3}$

Correct answer:

$\frac{5}{8}$

Explanation:

For each fraction, divide each numerator by its denominator to get its decimal representation, then subtract to find its difference from 0.6.

$\frac{4}{7} \approx 0.5714 ; 0.6 - 0.5714 =0.0286$

$\frac{5}{8}=0.625; 0.625-0.6 = 0.025$

$\frac{9}{16} = 0.5625; 0.6-0.5625=0.0375$

$\frac{2}{3}\approx 0.6667; 0.6667-0.6=0.0667$

$\frac{13}{20} = 0.65; 0.65-0.6=0.05$

$\frac{5}{8}$ is the closest to 0.6 of the five.

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Example Question #311 : Number Concepts And Operations

Give the decimal equivalent of $\frac{1}{6}$ .

Possible Answers:

0.166

$0.1\overline{6}$

0.167

$0.\overline{16}$

0.16

Correct answer:

$0.1\overline{6}$

Explanation:

Divide 1 by 6; the result is

$\frac{1}{6}= 1 \div 6 = 0.166666...$ .

That is, the 6 is repeated infinitely. This is equal to $0.1\overline{6}$ .

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Example Question #16 : Decimals With Fractions

Convert 0.38 into a fraction in simplest form.

Possible Answers:

$\frac{19}{25}$

$\frac{38}{50}$

$\frac{19}{50}$

$\frac{5}{19}$

Correct answer:

$\frac{19}{50}$

Explanation:

Think of the decimal as the fraction $\frac{0.38}{1}$ .

Now, multiply the numerator and denominator by for every digit after the decimal. In this case, because there are digits after the decimal, we will be multiplying by twice, or by 100 .

$\frac{0.38}{1}\times 100=\frac{38}{100}$

Now, simplify this fraction.

$\frac{38}{100}=\frac{19}{50}$

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Example Question #252 : Rational Numbers

What is the fractional equivalent of

0.25

Possible Answers:

$\frac{25}{101}$

$\frac{1}{4}$

$\frac{1}{3}$

$\frac{1}{5}$

Correct answer:

$\frac{1}{4}$

Explanation:

To find the fractional equivalent, we convert the number given into a whole number and divide by the corresponding tenth power needed to move the decimal into a whole number.

So for

0.25

we need to multiply by 100 to turn the decimal into the whole number

We divide by 100 to get our fraction

$\frac{25}{100}$

this can be reduced to

$\frac{1}{4}$

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

What is the fractional equivalent of

0.125

Possible Answers:

$\frac{1}{9}$

$\frac{1}{8}$

$\frac{1}{7}$

$\frac{1}{6}$

$\frac{1}{4}$

Correct answer:

$\frac{1}{8}$

Explanation:

To find the fractional equivalent, we first convert the decimal into a whole number.

So to convert 0.125 into a fraction we need to multiply by 1000 to change the decimal into the whole number 125 .

We can now put 125 over the number we used to convert the decimal into a whole number.

$\frac{125}{1000}$

This can be reduced to

$\frac{1}{8}$

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

Convert 0.36 into a fraction.

Possible Answers:

$\frac{25}{9}$

$\frac{36}{7}$

$\frac{18}{25}$

$\frac{9}{25}$

Correct answer:

$\frac{9}{25}$

Explanation:

Write the decimal divided by .

$0.36=\frac{0.36}{1}$

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

$\frac{0.36\times100}{1\times100}=\frac{36}{100}=\frac{9}{25}$

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Example Question #3 : How To Find The Fractional Equivalent Of A Decimal

Convert 0.32 into a fraction.

Possible Answers:

$\frac{8}{25}$

$\frac{7}{25}$

$\frac{6}{25}$

$\frac{25}{8}$

Correct answer:

$\frac{8}{25}$

Explanation:

Write the decimal divided by .

$0.32=\frac{0.32}{1}$

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

$\frac{0.36\times100}{1\times100}=\frac{32}{100}=\frac{8}{25}$

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Example Question #4 : How To Find The Fractional Equivalent Of A Decimal

What is 0.282 as a fraction?

Possible Answers:

$\frac{141}{1000}$

$\frac{141}{500}$

$\frac{282}{125}$

$\frac{500}{141}$

Correct answer:

$\frac{141}{500}$

Explanation:

Write the decimal divided by .

$0.282=\frac{0.282}{1}$

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

$\frac{0.282\times1000}{1\times1000}=\frac{282}{1000}=\frac{141}{500}$

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Example Question #5 : How To Find The Fractional Equivalent Of A Decimal

Convert 0.56 to a fraction.

Possible Answers:

$\frac{14}{25}$

$\frac{7}{100}$

$\frac{25}{14}$

$\frac{7}{50}$

Correct answer:

$\frac{14}{25}$

Explanation:

Write the decimal divided by .

$0.56=\frac{0.56}{1}$

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

$\frac{0.56\times100}{1\times100}=\frac{56}{100}=\frac{14}{25}$

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Example Question #6 : How To Find The Fractional Equivalent Of A Decimal

What is 0.185 as a fraction?

Possible Answers:

$\frac{7}{200}$

$\frac{37}{100}$

$\frac{7}{15}$

$\frac{37}{200}$

Correct answer:

$\frac{37}{200}$

Explanation:

Write the decimal divided by .

$0.185=\frac{0.185}{1}$

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

$\frac{0.185\times1000}{1\times1000}=\frac{185}{1000}=\frac{37}{200}$

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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 #11 : How To Find The Decimal Equivalent Of A Fraction

Example Question #311 : Number Concepts And Operations

Example Question #16 : Decimals With Fractions

Example Question #252 : Rational Numbers

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

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

Example Question #3 : How To Find The Fractional Equivalent Of A Decimal

Example Question #4 : How To Find The Fractional Equivalent Of A Decimal

Example Question #5 : How To Find The Fractional Equivalent Of A Decimal

Example Question #6 : How To Find The Fractional Equivalent Of A Decimal

All SSAT Upper Level Math Resources

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