Adding Fractions

A fraction represents a part of a whole and is written as 'a/b', where 'a' is the numerator (part) and 'b' is the denominator (whole).

Adding fractions means combining the parts represented by the fractions to find a total.

When adding fractions with the same denominator, you add the numerators and keep the denominator the same. For example, 1/4 + 2/4 = (1+2)/4 = 3/4.

To add fractions with different denominators, first find a common denominator, convert the fractions, then add the numerators.

A common denominator is a shared multiple of the denominators of two or more fractions, allowing them to be added together.

Example: 3/8 + 2/8 = (3+2)/8 = 5/8.

Example: 1/3 + 1/6. The common denominator is 6, so convert 1/3 to 2/6. Then, 2/6 + 1/6 = 3/6 = 1/2.

An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 5/4.

A mixed number is a whole number combined with a proper fraction, such as 1 1/2.

To convert an improper fraction to a mixed number, divide the numerator by the denominator. The quotient is the whole number, and the remainder is the new numerator.