# Complex Fractions Calculator

Using Complex Fractions calculator can be the easiest and most convenient way to add, subtract, divide and multiply the two complex fractions. All you have to do is simply insert the values into input fields and press the calculate button and soon you will get the answer in a blink of an eye.

**Ex:** [5(1/3) ÷ -6/15] + [7/3 ÷ -1(1/5)] (or) [5(1/3) ÷ 6/15] - [7/3 ÷ 1(1/5)] (or) [5(1/3) ÷ 6/15] ÷ [7/3 ÷ 1(1/5)]

### What is Complex Fraction?

Complex Fraction is a fraction which consists of one or more fractions (in numerator or denominator or both) inside it.

For example, we have a complex fraction as (p/q)/(r/s). Here p/q is numerator and r/s is denominator.

### How to Solve Complex fractions?

Follow the steps below to calcualte complex fractions manually. By following these steps you will never make a mistake in calculating complex problems.

- For simplifying complex fractions into lowest form, first, you need to write down the values which are given in the problem.
- For adding and subtracting two complex fractions, you need to find the Least common denominator(LCD) by finding the least common multiple and make some math operations to get the simplest form.
- Next, if you want to divide or multiply, just use simple division rule or follow some arithematic rules with fractions.
- Finally, you will get the answer, by further simplification you can reduce the fraction into simple form.

### Solved Example for Complex Fraction

**Example**

**Question: Solve the complex fraction (5(6/7) ÷ 71/12) + (13/5 ÷ 9)**

**Solution:**

Given complex fraction is (5(6/7) ÷ 71/12) + (13/5 ÷ 9)

Simplify complex fractions

(5(6/7) ÷ 71/12) = 41/7 ÷ 71/12

L.C.M of 7,12 is 84

84 x (41/7) ÷ 84 x (71/12) = 492/497

13/5 ÷ 9 = 13/5 ÷ 9/1

L.C.M of 5, 1 is 5.

5 x (13/5) ÷ 5 x (9/1) = 13/45

The given fractions are 492/497 nad 13/45

LC.M of 497, 45 is 22365

= (492x45 + 13x497)/22365

= (22140 + 6461)/22365

= 28601/22365

So, (5(6/7) ÷ 71/12) + (13/5 ÷ 9) = 28601/22365

Use this free calculator tool to complete your homework and assignments very quickly and easily. For more calculator tools you can click on Multiplyfractions.com.

### FAQs on Complex Fractions Calculator

**1. What is complex fraction?**

A complex fraction is an expression that has a fraction in its numerator and denominator.

**2. How to you calculate complex fractions easily?**

You can calculate complex fractions easily by using our complex fraction calculator available in Multiplyfractions.com

**3. How to use complex fraction calculator?**

To use complex calculator all you have to do is just fill the input values in the given input fields and click on calculate button, then you will the answer in split second.

**4. Where can I get a detailed process to calculate complex fractions to its lowest form?**

You can get a detailed process to calculate complex fractions on our complex fraction calculator page.