# GRE Math : How to find the decimal equivalent of a fraction

## Example Questions

### Example Question #4 : Decimals

If can equal which of the following?

None of the other answer choices are correct

Explanation:

Convert all of the fractions to decimals. Thus, x is contained within the range of 0.33 < x < 0.76. The answers choices become 1/4 = 0.25, 4/12 = 0.33, 2/5 = 0.4, and 5/16 = 0.3125, respectively.  Therefore, the only answer which is within the desired range is 2/5.

### Example Question #51 : Decimals

Vega only purchases gardening claws in bulk cases. Each case is 150 claws for $2415.17. Quantity A: The number of claws Vega can purchase with$41,082.05

Quantity B: The number of claws Vega can purchase with $43,473.05 Possible Answers: The two quantities are equal. Quantity B is greater. The relationship cannot be determined. Quantity A is greater. Correct answer: The two quantities are equal. Explanation: Looking at the differences in prices, one might guess that Quantity B is the answer. Beware the easy answer; always check. Instead, calculating how many cases of claws Vega can buy, keeping in mind that he cannot purchase part of a case. Do not round up! Quantity A: Quantity B: In either case, he can buy no more than seventeen cases. The two quantities are equal. ### Example Question #1 : How To Find The Decimal Equivalent Of A Fraction Isley only buys seeds for her gardening store in bulk cases, with each case containing packets of seeds and costing$343.25.

Quantity A: The number of seeds Isley can purchase with $3837.54 Quantity B: The number of seeds Isley can purchase with$3871.86

Quantity B is greater.

The relationship cannot be determined.

Quantity A is greater.

The two quantities are equal.

The two quantities are equal.

Explanation:

Looking at how close the dollar values are for A and B, it's tempting to think the GRE is being tricky, and that B will allow for the purchase of more cases of seeds.

Do not assume; check to see whether or not this is the situation. Note that a portion of a case cannot be purchased; round down to the nearest integer when calculating how many cases may be bought.

Since each case is \$343.25

Quantity A:

Quantity B:

The two quantities are equal.

### Example Question #52 : Decimals

Choose the answer which best expresses the following fraction in decimal form (round to the nearest thousandth):