How to find the fractional equivalent of a decimal - SSAT Upper Level Quantitative (Math)

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Question

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

Answer

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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Question

Convert into a fraction in simplest form.

Answer

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 .

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

Now, simplify this fraction.

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

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Question

What is the fractional equivalent of

Answer

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

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

We divide by to get our fraction

$\frac{25}{100}$

this can be reduced to

$\frac{1}{4}$

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Question

What is the fractional equivalent of

Answer

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

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

We can now put 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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Question

Convert into a fraction.

Answer

Write the decimal divided by .

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

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

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

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Question

Convert into a fraction.

Answer

Write the decimal divided by .

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

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

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

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Question

What is as a fraction?

Answer

Write the decimal divided by .

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

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

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

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Question

Convert to a fraction.

Answer

Write the decimal divided by .

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

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

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

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Question

What is as a fraction?

Answer

Write the decimal divided by .

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

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

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

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Question

What is as a fraction?

Answer

Write the decimal divided by .

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

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

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

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Question

Convert into a fraction.

Answer

Write the decimal divided by .

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

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

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

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Question

Convert into a fraction.

Answer

Write the decimal divided by .

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

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

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

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Question

Express as a fraction.

Answer

Write the decimal divided by .

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

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

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

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Question

Find the fractional equivalent of .

Answer

Write the decimal divided by .

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

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

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

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Question

Find the fractional equivalent of .

Answer

Write the decimal divided by .

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

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

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

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Question

Find the fractional equivalent of .

Answer

Write the decimal divided by .

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

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

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

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