Having a thorough knowledge of decimals and the place value of the digits in it helps to understand the reasoning behind the method going to be described here.

The method is easy to follow.

But remember that, simple things need perfection and perfection is not a simple thing.

Study the examples and solve all the problems given in exercise and check with the Answers.

Method of Converting Decimals to Fractions

Method for decimal numbers with whole number part '0' :

Step 1 : Remove the decimal point and write the resulting number as the numerator.

Step 2 : Place as many zeroes after 1 as there are places in the decimal part and write it as the denominator.

Step 3 : Reduce the fraction thus formed to lowest terms.

Method for decimal numbers with whole number part other than '0':

Write the decimal as whole number + decimal part.

For the decimal part, apply the method given above to get a proper fraction.

The whole number plus this proper fraction which is a mixed fraction is the required answer.

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Convert each of the following Decimals to Fractions of lowest terms.

8.5

27.6

6.05

9.375

3.15

27.28

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