We have learned how to **convert fractions to decimals **and in this post, we are going to learn how to convert decimals to fractions. Before doing this, we need to review the meaning of **place value**. In the decimal number 0.532, 5 is the *tenths place*, 3 is the *hundredths place*, 2 is the *thousandths place.*

The number 5 tenths is the same as , 3 hundredths is the same as and 2 thousandths is the same as . In converting decimals to fractions, we have to see the place value of the last digit of the decimal place.

Example 1

Convert to fraction.

*Solution*

0.7 is 7 tenths or .

Therefore, the equivalent of in fraction is the same as

Example 2

Convert to fraction.

0.6 is

We **reduce the fraction to lowest terms** by dividing both the numerator and the denominator by the **greatest common factor** of 6 and 10 which is 2.

Therefore, the equivalent fraction of is .

Example 3

Convert to fraction

The last digit of the decimal is in the hundredths place, so we can read this as 12 hundredths.

Twelve hundredths is .

We convert this fraction to lowest terms by dividing both the numerator and denominator by the greatest common factor of 12 and 100 which is equal to 4. So,

.

Therefore, the equivalent of 0.12 in fraction is

Example 4

Convert to fraction.

*Solution*

The last digit of the decimal number above is in the thousandths place. So, we can read it as 375 thousandths.

Now, 375 thousandths is the same as .

We convert 375 thousandths to lowest terms by dividing both its numerator and denominator by the greatest common factor of 375 and 1000 which is equal to 125. That is,

.

Therefore, the equivalent fraction of is

You can watch the video of this article **here**.

In the next post, we will have more examples.

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