How to find the fractional equivalent of a decimal

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SSAT Upper Level Quantitative › How to find the fractional equivalent of a decimal

Questions 1 - 10
1

Convert into a fraction in simplest form.

Explanation

Think of the decimal as the fraction .

Now, multiply the numerator and denominator by for every digit after the decimal. In this case, because there are digits after the decimal, we will be multiplying by twice, or by .

Now, simplify this fraction.

2

Convert into a fraction.

Explanation

Write the decimal divided by .

Multiply the numerator and denominator by to get rid of the decimal, then simplify.

3

Convert to a fraction.

Explanation

Write the decimal divided by .

Multiply the numerator and denominator by to get rid of the decimal, then simplify.

4

Convert into a fraction.

Explanation

Write the decimal divided by .

Multiply the numerator and denominator by to get rid of the decimal, then simplify.

5

What is the fractional equivalent of

Explanation

To find the fractional equivalent, we convert the number given into a whole number and divide by the corresponding tenth power needed to move the decimal into a whole number.

So for

we need to multiply by to turn the decimal into the whole number

We divide by to get our fraction

this can be reduced to

6

Convert into a fraction.

Explanation

Write the decimal divided by .

Multiply the numerator and denominator by to get rid of the decimal, then simplify.

7

Express as a fraction.

Explanation

Write the decimal divided by .

Multiply the numerator and denominator by to get rid of the decimal, then simplify.

8

Find the fractional equivalent of .

Explanation

Write the decimal divided by .

Multiply the numerator and denominator by to get rid of the decimal, then simplify.

9

Find the fractional equivalent of .

Explanation

Write the decimal divided by .

Multiply the numerator and denominator by to get rid of the decimal, then simplify.

10

Find the fractional equivalent of .

Explanation

Write the decimal divided by .

Multiply the numerator and denominator by to get rid of the decimal, then simplify.

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