# How do you change into a fraction?

Tommy

Solution:

Step:1 To convert a decimal into fraction, following procedure is used.

1. Observe, after how many places from the right a decimal is placed.

2. Divide the number after removing the decimal from it by a number as etc number of zeros after 1 depends upon the place from the right a decimal is placed.

3. Convert the fraction obtained in step 2 in simplest form. If the denominator is greater than the numerator then the fraction is proper and if the numerator is greater than denominator then the fraction is improper.

Step:2 Similarly, to convert a fraction into a decimal, following procedure is used.

1. Observe the denominator of the fraction, if the denominator is a number which can be written in the form , where  are non-negative integers, then the fraction can be converted in a terminating decimal otherwise it is a non-terminating decimal.

2. Divide the numerator by denominator.

3. If the division is non-terminating or the division is too long, then the decimal expansion can be rounded up to 2 to 3 decimal places, which gives the approximate value of fraction.

Step:3 Conversion of 0.2 into a fraction:

1.In the decimal number 0.2, decimal is placed after one number from the right.

2. Divide the number 2 by 10.

3. Convert  in simplest form.

Answer: 0.2 is  as a fraction.

Similar Problems:

Problem 1: Convert 0.6 as a fraction.

Solution:

Step:1 0.6 has a decimal after one digit from right.

Divide the number removing decimal from it, by 10.

Step:2 Conversion of 0.6 into a fraction is as follows:

Answer: 0.6 is  as a fraction.

Problem 2: Convert 0.8 as a fraction.

Solution:

Step:1 0.8 has a decimal after digit from the right.

Divide the number removing decimal from it, by 10.

Step:2 Conversion of 0.8 into a fraction is as follows:

Answer: 0.8 is  as a fraction.

<math xmlns='http://www.w3.org/1998/Math/MathML'>
<mrow>
<mfrac>
<mn>1</mn>
<mn>5</mn>
</mfrac>
</mrow>
[/itex]

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