Complex Fractions Calculator

A fraction is defined as a portion or section of any quantity out of a whole, where, the whole can be any number, a  specific value, or a thing.

What is Complex Fractions Calculator?

'Complex Fractions Calculator' is an online tool that helps to find the addition, subtraction, multiplication, and division of two complex fractions. Online Complex Fractions Calculator helps you to find the addition, subtraction, multiplication, and division of two complex fractions in a few seconds.

NOTE: Enter the values up to three digits only.

How to Use Complex Fractions Calculator?

Please follow the steps below on how to use the calculator:

• Step 1: Choose a drop-down list for arithmetic operations
• Step 2: Enter the complex fractions in the given input boxes.
• Step 3: Click on the "Calculate" button to find addition, subtraction, multiplication, and division of two complex fractions.
• Step 4: Click on the "Reset" button to clear the fields and enter new values.

How to Solve Arithmetic Operations on Complex Fractions?

A complex fraction is defined as a fraction in which a numerator or denominator has more than two fractions.

For example, \(\frac{\frac{a}{b}}{\frac{c}{d}}\)is a complex fraction where a/b is the numerator and c/d is the denominator.

Please follow the below steps to solve the complex fractions:

• Step 1: Choose an arithmetic operation to solve the complex fractions.
• Step 2: Simplify the two complex fractions.
• Step 3: Solve the two complex fractions for a given arithmetic operation.

Let us see an example to understand briefly.

Solved Example:

Add two complex fractions \(\frac{\frac{1}{2}}{\frac{5}{6}}\) and \(\frac{\frac{2}{3}}{\frac{5}{9}}\)

Solution:

Given: Complex fraction1 = \(\frac{\frac{1}{2}}{\frac{5}{6}}\) and complex fraction2 = \(\frac{\frac{2}{3}}{\frac{5}{9}}\)

Complex fraction1 = \(\frac{\frac{1}{2}}{\frac{5}{6}} = \frac{1}{2}×\frac{6}{5} = \frac{3}{5}\) 

Complex fraction2 = \(\frac{\frac{2}{3}}{\frac{5}{9}} = \frac{2}{3}×\frac{9}{5} = \frac{6}{5}\)

\(= \frac{\frac{1}{2}}{\frac{5}{6}} + \frac{\frac{2}{3}}{\frac{5}{9}}\)

\(=\frac{3}{5}+\frac{6}{5}\)

\(=\frac{9}{5}\)

Similarly, you can try the calculator to find the addition, subtraction, multiplication, and division of two complex fractions:

• \(\frac{\frac{5}{2}}{\frac{7}{6}} \,\,and \,\,\frac{\frac{8}{2}}{\frac{9}{6}}\)
• \(\frac{\frac{6}{8}}{\frac{4}{5}} \,\,and \,\,\frac{\frac{9}{4}}{\frac{8}{7}}\)