Most of the students feel that fractions and decimals are difficult to solve but if you understand the tricks this will be the easiest among all the 5th-grade chapters. Here the 5th Grade Math students can learn how to convert fractions to decimals. A fraction can be written in the p by q form. The easiest way for the conversion of fractions to decimal fractions is provided in this article. Just divide numerator and denominator to convert the fractions to decimal fractions.
How to Convert Fractions to Decimal Fractions?
Know the steps to convert fractions into decimal fractions from here. They are along the lines
1. In the case of a proper fraction, we have to divide the numerator and denominator and write the result as a decimal.
2. In the case of a mixed fraction, you have to convert it into an improper fraction and then divide the numerator and denominator and write the solution in the decimal fraction.
3. Add the possible number of zeros after the decimal to the numerator to complete the division operation.
Converting Fractions to Decimal Fraction Examples
Check out the process of converting the fractions to decimal fractions with the help of the below examples.
Example 1.
Convert the fraction 3/16 into a decimal fraction?
Solution:
Given that,
3/16
The above fraction is a proper fraction.
Divide the numerator by the denominator.
= 0.187
Write the decimal for around three numbers.
Therefore the conversion of the fraction 3/16 is 0.187
Example 2.
Convert the fraction 1/3 into a decimal fraction?
Solution:
Given that,
1/3
The above fraction is a proper fraction.
Divide the numerator by the denominator
= 0.33
Write the decimal fraction for around two numbers.
Therefore the conversion of the fraction 1/3 is 0.33
Example 3.
Convert the fraction 17/11 into a decimal fraction?
Solution:
Given that,
17/11
The fraction is an improper fraction. Add the possible number of zeros after the decimal to the numerator to complete the division operation.
Divide the numerator by the denominator
= 1.54
Therefore the conversion of the improper fraction 17/11 is 1.54
Example 4.
Convert the fraction 12/20 into decimal fractions?
Solution:
Given that,
12/20
The above fraction is a proper fraction.
Divide the numerator by the denominator
= 0.6
Therefore the conversion of the fraction 12/20 is 0.6
Example 5.
Convert the fraction 3/5 into a decimal fraction?
Solution:
Given that,
3/5
The above fraction is a proper fraction.
Divide the numerator by the denominator
= 0.6
Therefore the conversion of the fraction 3/5 is 0.6
FAQs on Conversion of Fraction to Decimal fraction
1. What is the rule for converting fractions to decimals?
In order to convert fractions to decimal fractions, you have to divide numerator by denominator.
2. How do you convert fractions to decimals with an example?
Conversion of a fraction to a decimal number when the denominator is a multiple of 10.
Add the possible number of zeros after the decimal to the numerator to complete the division operation.
8/10 = 0.8
3. How to convert fractions to decimals?
A fraction is divided into two parts numerator and denominator. To convert a fraction to a decimal divide numerator by the denominator.