Converting Decimals to Fractions and Vice Versa 

The process of conversion of decimals to fractions and fractions to decimals will help you a lot while solving sums from varied topics of mathematics. These conversions are employed in almost all the chapters of mathematics and hence it becomes very important that we learn about these conversions very nicely. Before understanding the process of conversion, let us understand briefly fractions and decimals. A fraction can be defined as a number represented in the form of p/q where q is not equal to zero. We use fractions in our real life, knowingly or unknowingly. Examples of it can be one-fifth of the glass of water, three fourth of the cake, etc. Decimals on the other hand are a different method of presentation of fractions on a number line. Their forms are different, however, they are one and the same. 

How Do You Convert Decimals to Fractions?

Converting decimals to fractions is very easy. Let us see how.

  • We will write down the given decimal divided by 1. Example: 0.85/1

  • Now, the operation of multiplication will be carried out on both the numerator and the denominator by 10 for every number after the decimal point. For example: in 0.85 there are two numbers after the decimal. Thus, it will be multiplied by 100.

  • After multiplication, we will get 85/100. Reduce 85/100 to its simplest form.

  • The required answer will be 17/20.

How Do You Convert Fractions into Decimals?

The process of converting fractions to decimals is very easy. Three methods can be employed in the process of converting fractions to decimals. Let us check out all three methods:

With the help of a Calculator: Let us take an example to see how this can be done. We need to convert 9/4 into decimal. We will press 9 on the calculator and then press the division sign. After pressing the divide sign, we will press 4 and then hit equal to. We will get the answer as 2.25 which is the decimal form.

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