GRE Math : How to find the fractional equivalent of a decimal

Study concepts, example questions & explanations for GRE Math

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Example Questions

Example Question #1 : How To Find The Fractional Equivalent Of A Decimal

A tub of food contains  pounds of vegetables,  pounds of lard, and  pounds of sausage.  What is its total weight as an improper fraction?

Possible Answers:

Correct answer:

Explanation:

To begin with, it is easiest just to add these decimals together using your calculator:

Now, this is the same thing as:

We can rewrite this:

To find this, you need to give the two numbers a common denominator:

This is your answer.

Example Question #6 : Decimals

What is the fractional equivalent of ?

Possible Answers:

Correct answer:

Explanation:

In decimal form  is said 33 hundredths.

This is equal to

.

This fraction cannot be reduced any further therefore it is in its final answer form.

Example Question #2 : How To Find The Fractional Equivalent Of A Decimal

Choose the answer which best converts the following decimal into a fraction, ensure that you simplify your answer:

Possible Answers:

Correct answer:

Explanation:

To convert a decimal into a fraction, simply put the digits of the decimal in the numerator of a fraction, then one followed by a number of zeroes equal to the number of digits in the decimal as your denomator.  In this case:

Then, you can simplify, as both  and  are divisible by :

Example Question #3 : How To Find The Fractional Equivalent Of A Decimal

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

It can help to begin by writing the expression using scientific notation:

Now remove common divisors from the numerator and denominator:

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