Adding Fractions

A fraction represents a part of a whole and is written as $$\frac{a}{b}$$ , where 'a' is the numerator and 'b' is the denominator.

When adding fractions with the same denominator, you add the numerators and keep the denominator the same. For example, $$\frac{2}{5} + \frac{3}{5} = \frac{2+3}{5} = \frac{5}{5} = 1$$ .

$$\frac{3}{5} + \frac{4}{5} = \frac{3+4}{5} = \frac{7}{5} = 1\frac{2}{5}$$ .

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 over the original denominator.

$$\frac{3}{4} + \frac{1}{4} + \frac{3}{4} = \frac{3+1+3}{4} = \frac{7}{4} = 1\frac{3}{4}$$ .

$$\frac{3}{6} + \frac{3}{6} = \frac{3+3}{6} = \frac{6}{6} = 1$$ .

$$\frac{2}{3} + \frac{1}{3} + \frac{2}{3} = \frac{2+1+2}{3} = \frac{5}{3} = 1\frac{2}{3}$$ .

$$\frac{3}{4} + \frac{3}{4} = \frac{3+3}{4} = \frac{6}{4} = 1\frac{2}{4} = 1\frac{1}{2}$$ .

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

The least common denominator (LCD) of $$\frac{1}{2}$$ and $$\frac{1}{3}$$ is 6. Convert to $$\frac{3}{6}$$ and $$\frac{2}{6}$$ .