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Fractions

To convert a decimal into a fraction, we need to first write the given decimal in the form of a fraction, by adding a denominator 1. Then we need to multiply both numerator and denominator with the multiples of 10, to remove decimal (.) from the given number. For example, 1.9 is a decimal number, then the equivalent fraction will be 19/10. We cannot simply 19/10 further. 


Decimal: In terms of a computer, decimal numbers are the numbers that have a base 10. But in Mathematics, a decimal number is a number that has a dot(.) or decimal point between the digits. Basically, decimals are nothing but fractions with denominators as 10 or multiples of 10. For example, 3.2, 10.9, 55.1, 1.28, 9.234, etc., are decimals.


Fractions: Fraction is a part of a whole number. It is denoted as a ratio of two numbers a/b, where a and b are integers, also b≠0. The two numbers are called the numerator and denominator. For example, 1/2 is a part of 1, 3/5 is a part of 3, etc. We can perform all the arithmetic operations on fractions. There are three types of fraction, Proper, Improper and Mixed.

How to Convert Decimal into Fractions?

Now let us learn the steps to convert the decimal into fractions.

The below figure visualizes how to convert decimal to fraction with a simple example.

fraction1

These steps make decimal to fraction conversion simple and easy. Using these steps, we can get accurate results.

Solved Examples


Solve problems based on conversion of decimal to fraction and fraction to decimal are given here. These examples of decimal to fraction conversions will help you in better understanding of the concept.


Find the fraction form of the decimal 0.7


Solution: Given, decimal number 0.7, we need to find the fraction for 0.7.
We can also find a number of equivalent fractions by finding its multiples.
0.7 = 7/10
Now multiply, 7/10 by 2, both in numerator and denominator, then we get;
(7×2)/(10×2) = 14/20
To find more equivalent fractions, let us multiply 7/10 by 5 and 10 both in numerator and denominator.
7×5/10×5 = 35/50
7×10/10×10 = 70/100
Therefore, the fractions of 0.7 decimal are 7/10, 35/50, 70/100.


Convert 7.15 into a fraction.


Solution:  Given, 7.15 is a decimal number.
Multiply and divide 7.15 by 100.
7.15 × 100/100 = 715/100
If we simplify it more, we get;
143/20
We can also find the equivalent fractions by multiplying the numerator and denominator by 2. Such as;
143×2/20×2 = 286/40
So, 7.15 equivalent fractions are 715/100, 143/20 and 286/40.

0.375 as a Fraction

Explanation
In order to convert 0.375 into a fraction, let us use the following steps.

Step 1: Let us write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly.

Here, 0.375 has three numbers after the decimal, so, we place 1000 in the denominator and remove the decimal point. This will make it 375/1000

Step 2: Then, this fraction can be simplified. 375/1000 = 3/8

Therefore, 0.375 as a fraction can be expressed as 3/8.


Exponentional Function

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