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

Study concepts, example questions & explanations for GRE Math

varsity tutors app store varsity tutors android store varsity tutors amazon store varsity tutors ibooks store

Example Questions

Example Question #1 :Decimals

A tub of food containspounds of vegetables,pounds of lard, andpounds 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 #1 :Decimals With Fractions

What is the fractional equivalent of?

Possible Answers:

Correct answer:

Explanation:

In decimal formis said 33 hundredths.

This is equal to

.

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

Example Question #51 :Decimals

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 bothandare divisible by:

Example Question #52 :Decimals

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:

Tired of practice problems?

Try live online GRE prep today.

1-on-1 Tutoring
Live Online Class
1-on-1 + Class
Learning Tools by Varsity Tutors