# Fractions

## Fraction Types

There are three types of fractions; regular, irregular and mixed numbers.

Regular example; 5/6

Irregular example; 7/4

Mixed number example; 2 4/6

## Equivalent Fractions

Equivalent fractions are fractions that have the same value as a different fraction. To find equivalent fractions, you must find the number both the numerator and the denominator are divisible by. Example;

1/2 is equivalent to 50/100

## Lowest Terms

To find the lowest terms of a fraction, you find what both the numerator and the denominator can divide into. The easiest method is to divide by two. Example;

10/20 = 5/10

## Math Expressions

For adding fractions you can convert the denominators to the same number using the Lowest Common Multiple (LCM). Whatever you multiply the denominator by, you must multiply the numerator by the same number. Example;

2/3 + 1/4 = 8/12 + 3/12 = 11/12

## Subtracting

5/6 - 3/4 = 10/12 - 9/12 = 1/12

## Multiplication

Multiplying fractions is different from adding and subtracting. In multiplying a fraction by a whole number, you just multiply the numerator by the number. Example;

4/6 x 3 = 12/6 = 2

When multiplying a fraction by another fraction, you multiply the numerators by each other and the denominators by each other.

2/3 x 5/6 = 10/18 = 5/9

## Dividing

When dividing fractions, the second fraction in the equation's numbers are flipped. You're basically multiplying. Example;

1/2 ÷ 1/3 = 1/2 x 3/1 = 3/2 = 1 1/2

## Word Problems

Bob ate 2/8 of a pizza. Joe ate 3/4. Who ate more pizza?

Sara had 1/3 of a chocolate bar and Ryan had 2/4. How much did John have?