# Fraction Calculator

Below are multiple fraction calculators capable of addition, subtraction, multiplication, division, simplification, and conversion between fractions and decimals. Enter appropriate values, ideally integers, into each field, select the desired operation, and click the "Calculate" button to calculate.

### Fraction Calculator

### Simplify Fraction Calculator

### Decimal to Fraction Calculator

### Fraction to Decimal Calculator

**The Easiest Ways to Calculate Fractions**

First of all, let’s define what are fractions: Numerical quantities that represent values of less than one are Fractions. Otherwise known as fractional numbers, they are commonly used to measure parts of a whole like one half (1/2), one-fifth (1/5), and two-thirds (2/3).

**Converting a Mixed Fraction to an Improper Fraction**

A whole number followed by a fractional number is a mixed fraction. In the following example, we will use the mixed fraction of seven and four-fifths, written numerically as 7 4/5

If you are asked to convert a mixed fraction to an improper fraction the first step to take is to multiply the whole number by the denominator of the fractional part, then take the resulting figure and add it to the fraction’s numerator. Eventually, take this final figure as your new numerator and place it over the original denominator. This gives you an improper fraction.

Check out various useful calculators here

Click here if you want to calculate Slope-Intercept Form

**Converting a Fraction to a Decimal**

A decimal is just a different way of representing a fraction since both are used to identify values of less than one.

Here is the method utilized to convert a fraction to a decimal is a simple division: You simply divide the numerator by the denominator. Think of the line separating the numerator and the denominator as a division symbol, this is the easiest way to remember how to work out fractions as decimals.

**Converting a Fraction to a Percentage**

Three easy ways exist to convert a fraction to a percentage. We will cover them all here using the same fraction of 7/20.

**Method #1:**

First of all, you need to divide the numerator by the denominator, then multiply the consequential figure by 100 to get the percentage conversion:

7 ÷ 20 = 0.35

0.35 x 100 = 35%

**Method #2:**

You should multiply the numerator by 100, then divide the consequential figure by the denominator:

7 x 100 = 700

700 ÷ 20 = 35%

**Method #3:**

You should divide the numerator by the denominator and move the decimal point of your answer two places to the right:

7 ÷ 20 = 0.35

If you move the decimal point it will give you the conversion of 35%.

Always remember to include the % sign in your answer when converting a fraction to a percentage.

If you want to use Roof Pitch Calculator for free, click here

**Adding Fractions**

The method of adding fractions is direct when provided the denominators are the same.

As a basic example, take 1/6 + 3/6. In this instance, you have equal denominators, just add the numerators of both fractions, sticking with the lower figure of 6:

1 + 3 = 4

So, 1/6 + 3/6 = 4/6

You will first need to find the lowest common denominator when adding fractions where the lower figures don’t tally. This is the lowest number that can be divided by both existing denominators.

**Subtracting Fractions**

Subtracting fractions is easy when the denominators are the same, the same is with addition. you simply need to subtract the second numerator from the first, maintaining the bottom number the same.

**Dividing Fractions**

In order to divide one fraction by another, first of all, you need to turn the dividing fraction into a reciprocal by switching the denominator and the numerator.

**Multiplying Fractions**

The method of how to work out fractions as multiplications of each other is an uncomplicated one:

– Multiply your numerators

– Multiply your denominators

– Locate the new numerator over the new denominator

**Simplifying a Fraction**

To reduce a fraction to its most basic form is to simplify a fraction. Basically, to find the lowest equivalent fraction possible.

The first step is to find the greatest common factor, which is the highest whole number by which both numerator and denominator are divisible.

**Working out Fractions of Quantities**

Divide the given amount by the fraction’s denominator, then multiply this figure by the numerator when presented with a quantity and asked to work out a fractional portion.

**Determining Equivalent Fractions**

Multiply or divide both parts of one fraction by the same whole number, in order to determine if one fraction is equivalent to another.

The fraction keeps its value and is equivalent if your answers are also both whole numbers.

Check out one of the best Universities in the field of math