How to find the fractional equivalent of a decimal

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GRE Quantitative Reasoning › How to find the fractional equivalent of a decimal

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1

Choose the answer below which best expresses the following decimal as a fraction (choose the answer which has been reduced/simplified the most):

CORRECT

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Explanation

To convert from a decimal to a fraction, simply put the digits over one followed by a number of zeroes equal to the number of digits:

Then, you can reduce for your final answer:

2

Choose the answer below which best expresses the following decimal as a fraction (choose the answer which has been reduced/simplified the most):

CORRECT

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Explanation

To convert from a decimal to a fraction, simply put the digits over followed by a number of zeroes equal to the number of digits:

Then, you can reduce:

3

Choose the answer below which best expresses the following decimal as a fraction (choose the answer which has been reduced/simplified the most):

CORRECT

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Explanation

To convert from a decimal to a fraction, simply put the digits over one followed by a number of zeroes equal to the number of digits:

The zero in front of the can be removed, leaving: , which can be reducted to:

4

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

CORRECT

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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 :

5

Simplify the following expression:

CORRECT

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Explanation

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

Now remove common divisors from the numerator and denominator:

6

Choose the answer below which best expresses the following decimal as a fraction (choose the answer which has been reduced/simplified the most):

CORRECT

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Explanation

To convert from a decimal to a fraction, simply put the digits over one followed by a number of zeroes equal to the number of digits:

is prime, so there's no way to reduce. You're done!

7

Choose the answer below which best expresses the following decimal as a fraction (choose the answer which has been reduced/simplified the most):

CORRECT

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Explanation

To convert from a decimal to a fraction, simply put the digits over one followed by a number of zeroes equal to the number of digits:

You cannot reduce, as one of the numbers in the fraction is prime, so that's your final answer.

8

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

CORRECT

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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.

9

What is the fractional equivalent of ?

CORRECT

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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.

10

Write 0.45 as a fraction.

CORRECT

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Explanation

.45 is equivalent to 45 out of 100, or .

Divide both the numerator and denominator by 5 to simplify the fraction: