Dividing Fractions Calculator
Dividing Fractions Calculator is a free online tool that divides one fraction by another fraction. Division is one of the fundamental arithmetic operations. It is the process of distributing a large group into equal smaller groups.
What is a Dividing Fractions Calculator?
Dividing Fractions Calculator helps to compute the result of dividing one fraction by another and displays the simplified fraction. The process of dividing and multiplying two fractions is almost the same. To use the dividing fractions calculator, enter the values in the given input boxes.
Dividing Fractions Calculator
How to Use the Dividing Fractions Calculator?
Please follow the steps given below to divide two fractions by using the online dividing fractions calculator.
- Step 1: Go to Cuemath's online dividing fractions calculator.
- Step 2: Enter the values in the given input boxes.
- Step 3: Click on "Divide" to find the result of dividing the two fractions
- Step 3: Click on "Reset" to clear the fields and enter new values.
How Does Dividing Fractions Calculator Work?
A fraction is made up of two parts, namely the numerator and the denominator. The number that is written above the bar or "/" symbol is known as the numerator. Similarly, the denominator is the number written below the bar. The numerator is used to represent a part of the whole while the denominator represents the whole. Fractions can be added, subtracted, divided, and multiplied. Given below are the steps to divide one fraction (say, A / B) by another fraction (say, C / D).
- The first fraction is left as it is; A / B
- We take the reciprocal or the inverse of the second fraction. This implies that we interchange the numerator with the denominator; D / C
- Multiply the numerators of the first fraction and the reciprocal of the second fraction (A × D). Write this value above the bar.
- Multiply the denominators of the two fractions (B × C). Write this value below the bar.
- Simplify the fraction. (A × D) / (B × C)
- This simplified fraction will be the result of the division of the two given fractions.
This process is also known as the KFC method.
Solved Examples on Dividing Fractions Calculator
Example 1:
Divide 1 / 3 by 5 / 3 and verify the result using the dividing fractions calculator.
Solution:
The reciprocal of 5 / 3 is 3 / 5
Now, we will solve 1 / 3 x 3 / 5 = 3 / 15
On simplification
3 / 15 = 1 / 5
Thus, 1 / 3 ÷ 5 / 3 = 1 / 5
Example 2:
Divide 3 / 4.2 by 20.2 / 18 and verify the result using the dividing fractions calculator.
Solution:
The reciprocal of 20.2 / 18 is 18 / 20.2
Now, we will solve 3 / 4.2 x 18 / 20.2 = 54 / 84.84
On simplification
54 / 84.84 = 450 / 707
Thus, 3 / 4.2 ÷ 20.2 / 18 = 450 / 707
Now, you can try the calculator and divide the following fractions:
- 2 / 13 ÷ 3 / 15
- 20.2 / 30 ÷ 30 / 50.5