GRE Math : How to find decimal fractions

Study concepts, example questions & explanations for GRE Math

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Example Questions

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Example Question #11 : How To Find Decimal Fractions

Convert  to an improper fraction. 

Possible Answers:

Correct answer:

Explanation:

First convert this decimal number to a mixed number fraction, then covert the mixed number to an improper fraction. The mixed number fraction must have a whole number of  and a fraction that represents  tenths. 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. 

Example Question #12 : How To Find Decimal Fractions

Convert the mixed fraction   to a decimal number. 

Possible Answers:

Correct answer:

Explanation:

Since the starting number is a mixed number fraction, the decimal number must also have a value in the ones place. Since the denominator in the fraction has a value that is a factor of , both the numerator and denominator can be multiplied by a factor of  to form  tenths. (Note, the first decimal place value is the tenths place).


Example Question #51 : Decimals

A retailer can only order wristbands in bulk cases. Each case has 300 wristbands and costs $1172.

Quantity A: The number of wristbands that can be bought for $10547.

Quantity B: The number of wristbands that can be bought for $10560.

Possible Answers:

The relationship cannot be determined.

Quantity B is greater.

The two quantities are equal.

Quantity A is greater.

Correct answer:

Quantity B is greater.

Explanation:

The key to this problem is to realize that the store cannot buy partial crates of wristbands--it's all or nothing. Calculate how many crates can be bought with each sum of money by dividing the sum by the price of a crate.

Quantity A:

Although oh so close, only eight crates can be bought with this sum of money. Don't round up!

Quantity B:

There's just enough to buy nine crates.

Quantity B is greater.

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