GRE Math : Decimals with Fractions

Study concepts, example questions & explanations for GRE Math

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Example Questions

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Example Question #1 :How To Find Decimal Fractions

Convertto an equivalent decimal number.

Possible Answers:

Correct answer:

Explanation:

To convert this fraction to a decimal number, divide the numerator by the denominator. Since this fraction has a larger numerator than denominator, the fraction is classified as an improper fraction. This means that the fraction represents a value greater than one whole. Thus, the solution must be greater than one.




Note thatfits intoevenlytimes, and has a remainder for of

Example Question #41 :Decimals

Find the decimal equivalent of.

Possible Answers:

Correct answer:

Explanation:

Fractions and decimals both represent part of a whole. To solve this problem you may divideby, or you can reduce the fraction by dividing the numerator and denominator by the common factor ofThis will equal a fraction ofhundredths, which can be written as the decimal number "zero andhundredths."




Note: bothandequal

Example Question #42 :Decimals

Find the fractional equivalent for.

Possible Answers:

Correct answer:

Explanation:

Decimal numbers and fractions both represent part of a whole. This decimal number has a value ofin the tenths and thousandths place values. Since the decimal number reaches the thousandths place, the correct answer isover--which representsthousandths.





Example Question #43 :Decimals

Convertto a mixed number fraction. Then simplify your answer.

Possible Answers:

Correct answer:

Explanation:

Both decimals and fractions represent part of a whole. To convert this decimal number to a mixed number fraction, use the following steps:

(because the decimal number has ain the ones place value and anin the hundredths place value).

Then simplify.



Thus, the correct answer is

Example Question #44 :Decimals

Convertto a fraction. Then simplify.

Possible Answers:

Correct answer:

Explanation:

Both decimals and fractions represent part of a whole. Since this decimal number has a value ofin the tenths place and a value ofin the hundredths place, it can be re-written as:

.

Then, simplify the fraction by dividing both the numerator and denominator by a divisor of

Thus, the solution is:

Example Question #45 :Decimals

Find the fractional equivalent to.

Possible Answers:

Correct answer:

Explanation:

This problem requires several conversions. First, convertinto a mixed number fraction. This means, the new fraction will have a whole number ofand a fraction that representsthousandths. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number, and then add that product to the numerator.

Thus, the solution is:

Example Question #46 :Decimals

Convertto an improper fraction.

Possible Answers:

Correct answer:

Explanation:

This problem requires two conversions. First convertto a mixed number fraction. This must equal a whole number ofand a fraction that represents a value oftenths. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number, and then add that product to the numerator.

Thus, the solution is:

# 47例问题:Decimals

Find the fractional equivalent to. Then reduce the fraction if possible.

Possible Answers:

Correct answer:

Explanation:

为了解决这个问题,使混合fractio数量n with a whole number ofand a fraction that representshundredths. Then simplify the fraction portion of the mixed number by dividing the numerator and denominator by their largest common divisor.

Example Question #48 :Decimals

Find the fractional equivalent to. Then simplify.

Possible Answers:

Correct answer:

Explanation:

This problem requires you to first convert the decimal number to a mixed number fraction that has a whole number ofand a fraction that representsthousandths. Then reduce the numerator and denominator by common divisors until you can no longer simplify the fraction.



Example Question #49 :Decimals

Convertto a fraction. Then simplify.

Possible Answers:

Correct answer:

Explanation:

Both fractions and decimals represent part of a whole. The value of this decimal number reaches the ten-thousandths place value. Thus, the fraction must representten-thousandths. Then reduce the numerator and denominator by the common divisor of.

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