Fractions

A fraction is a way of expressing a part of a whole. It is written as two numbers separated by a horizontal line or a slash. The top number, called the numerator, represents the number of parts being considered, and the bottom number, called the denominator, represents the total number of parts in the whole. For example, the fraction 3/4 means 3 parts out of 4 parts, or 3/4 of the whole.

For example, if you have a pizza that is divided into 8 slices, and you eat 3 of them, you can express that as a fraction: 3/8. That means 3 out of 8 slices were eaten.

Fractions can also be represented as decimals by dividing the numerator by the denominator. For example, the fraction 3/4 can be written as 0.75 in decimal form.

Fractions can also be represented as a percentage by multiplying the fraction by 100. For example, the fraction 3/4 can be written as 75% in percentage.

You can perform mathematical operations such as addition, subtraction, multiplication and division with fractions, but you need to make sure that the denominators are the same before performing the operation.

There are many ways to simplify a fraction, such as finding the greatest common factor (GCF) of the numerator and denominator and dividing both by that number, or dividing the numerator and denominator by a common factor.

For example, the fraction 4/8 can be simplified to 1/2 by dividing both the numerator and denominator by 4, or 6/9 can be simplified to 2/3 by dividing both the numerator and denominator by 3.

It's important to pay attention to the numerator and denominator when working with fractions, and make sure to simplify them if necessary, otherwise the answer may not be accurate.