 # How to Calculate Fractions

## Introduction: What are Fractions

The word “fraction” comes from the Latin word, “fractus” which means “broken.”

A fraction is a number that represents a part of a whole. The two numbers in the fraction are called the numerator and denominator. The numerator is the top number, and the denominator is the bottom number. A fraction can be equal to or less than one, but it cannot be greater than one.

## What is a Mixed Number

A mixed number is a number that consists of an integer and a fraction.

A mixed number is any decimal number that has one or more digits to the right of the decimal point. A mixed number can also be written as an improper fraction, which is a fraction with a numerator that is greater than its denominator.

A mixed number can be converted to an improper fraction by dividing the whole part by the denominator and then adding the result to the numerator.

## How to Add & Subtract Fractions

The first step in adding or subtracting fractions is to identify whether the two are equivalent, which means that they have the same denominator.

To add or subtract fractions, it’s important to know what kind of fraction each one is. There are two kinds of fractions: proper and improper.

A proper fraction has a numerator (the number above the line) that’s less than its denominator (the number below the line). An improper fraction has a numerator that’s greater than its denominator.

The next step in adding or subtracting fractions is to simplify them by canceling out any common factors from both numbers, such as 2s, 3s, 4s etc.

For example if we had 1/2 + 1/6

we would first cancel out any common factors between 1/2 and

## How to Multiply & Divide Fractions

In this tutorial, we will learn how to multiply and divide fractions. Fractions are just like the numbers you use in math. The only difference is that fractions are used to represent parts of a whole.

We can do multiplication by multiplying the numerator (top number) of one fraction by the denominator (bottom number) of the other fraction. We can also do division by dividing the numerator (top number) of one fraction by the denominator (bottom number) of another fraction.

We can also multiply mixed numbers, which is when we multiply two fractions together, and there is a whole number in between them.

## Dividing with Decimals vs Dividing with Fractions

The main difference between dividing with decimals and dividing with fractions is that the decimal point is a representation of the number of places to the right of the decimal point. Whereas, with fractions, there are no decimal points.

In order to divide fractions, one needs to know how many equal parts you are dividing into. For example, if you want to divide two-thirds by one-third, then you need to first find out how many equal parts there are so that you can know what fraction each part represents. There are three equal parts in this case so it would be two-thirds divided by three-thirds which equals one-half.

## Putting It All Together – Comparing Decimals vs. Percents vs. Mixed Numbers

Decimals are a way to show the number of tenths, hundredths, and thousandths in a number.

Percent is a way to show the number of hundredths in a number. It is also used to show the ratio between two numbers.

Mixed numbers are numbers that have both decimal and whole values. They are written with whole values first followed by decimal values.

Comparing Decimals vs Percents vs Mixed Numbers:

Decimals:

– Decimals represent the number of tenths, hundredths, and thousandths in a number – They can be written as decimals or using scientific notation (e.g., 1.2 = 120) – The only time they should be written as fractions is if they are mixed decimals (e.g., 1/10 = 0.1) – If there is no need for precision, then it’s best to use rounded