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SSAT Upper Level Math : How to find decimal fractions

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All SSAT Upper Level Math Resources

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Example Questions

Example Question #11 : How To Find Decimal Fractions

Convert $\frac{0.25}{0.1}$ to a fraction.

Possible Answers:

$\frac{5}{2}$

$\frac{1}{2}$

$\frac{2}{5}$

$\frac{1}{5}$

$\frac{1}{4}$

Correct answer:

$\frac{5}{2}$

Explanation:

Lets try to get these values into whole numbers. To do that, we need to make sure both numerator and denominator are whole numbers and we will look for the number with the most decimal places. This is found in the numerator. To get it into a whole number, we will multiply by 100 or move the decimal places to the right. When you do that for the numerator, the same applies for the denominator. The new fraction is $\frac{25}{10}$ . Just reduce the fraction by factoring out a and the answer is shown.

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Example Question #11 : How To Find Decimal Fractions

What's the answer in decimal form?

$\frac{1}{2}+\frac{7}{8}$

Possible Answers:

1.25

2.375

1.375

5.875

Correct answer:

1.375

Explanation:

Convert each fraction to decimal. We have 0.5 and 0.875 . Add these values. Remember when adding decimals, make sure the decimal places are all lined up.

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Example Question #13 : How To Find Decimal Fractions

Convert 0.6524 into a simplified fraction.

Possible Answers:

$\frac{13}{20}$

$\frac{1589}{2500}$

$\frac{1631}{2500}$

$\frac{289}{500}$

$\frac{6524}{10000}$

Correct answer:

$\frac{1631}{2500}$

Explanation:

Lets place a under the decimal. We are going to make a fraction. Essentially, it's still the same value. Now, we want a whole number in the numerator and what we do to the numerator is done to the denominator as well. Lets multiply the top by 10000 or move the decimal place spots to the right. Now we have $\frac{6524}{10000}$ . This needs to be reduced, so divide by twice until it can't be reduced any further. The answer should be $\frac{1631}{2500}$ .

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Example Question #12 : How To Find Decimal Fractions

Convert to a fraction.

$3*10^{-4}$

Possible Answers:

$\frac{3}{100000}$

$\frac{3}{10000}$

$\frac{3}{1000}$

$\frac{3}{10000000}$

$\frac{3}{100}$

Correct answer:

$\frac{3}{10000}$

Explanation:

First, lets convert the exponent into a fraction. Any negative exponent means it's the reciprocal of the positive exponent. So $10^{-4}$ means $\frac{1}{10^{4}}$ . Now lets multiply it with the . This means $3*\frac{1}{10^4}$ or $3*\frac{1}{10000}$ or $\frac{3}{10000}$ .

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Example Question #12 : How To Find Decimal Fractions

Convert 0.33333333333.... into a fraction.

Possible Answers:

$\frac{1}{3}$

$\frac{33333}{100000}$

$\frac{33}{100}$

$\frac{33333333333333}{100000000000000}$

$\frac{333}{1000}$

Correct answer:

$\frac{1}{3}$

Explanation:

Let 0.33333333333.... be . (0.33333333333=x)

Lets multiply by . Now we have:

3.33333333333= 10x

Lets subtract this equation with the first one and we get:

9x=3 We do this because we want to get rid of the repeating decimals and now we have a simple equation, isolate and we arrive at the final answer.

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Example Question #283 : Fractions

Convert 0.857857857857... into a fraction.

Possible Answers:

$\frac{857}{1000}$

$\frac{8}{9}$

$\frac{857}{999}$

$\frac{7}{9}$

$\frac{857}{998}$

Correct answer:

$\frac{857}{999}$

Explanation:

Let 0.857857857... be . (0.857857857...=x)

Lets multiply by 1000 . I chose 1000 , because there is a set of numbers that make the repeating decimal. To determine the value to multiply the repeating decimal, we do to the power of number in a set before it repeats.

Now we have:

857.857857857...=1000x

Lets subtract this equation with the first one and we get:

999x=857 We do this because we want to get rid of the repeating decimals and now we have a simple equation, isolate and we arrive at the final answer.

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All SSAT Upper Level Math Resources

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SSAT Upper Level Math : How to find decimal fractions

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #11 : How To Find Decimal Fractions

Example Question #11 : How To Find Decimal Fractions

Example Question #13 : How To Find Decimal Fractions

Example Question #12 : How To Find Decimal Fractions

Example Question #12 : How To Find Decimal Fractions

Example Question #283 : Fractions

All SSAT Upper Level Math Resources

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