Adding Fractions (like denominators)

A fraction represents a part of a whole. It consists of a numerator (top number) and a denominator (bottom number). For example, in the fraction $$\frac{1}{2}$$ , 1 is the part and 2 is the whole.

The denominator indicates how many equal parts the whole is divided into. For example, in $$\frac{3}{4}$$ , the denominator 4 means the whole is divided into 4 equal parts.

The numerator shows how many parts of the whole are being considered. In $$\frac{3}{4}$$ , the numerator 3 means we are considering 3 out of the 4 equal parts.

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

Identify the common denominator and ensure both fractions have the same denominator before adding the numerators.

For example, $$\frac{2}{8} + \frac{3}{8} = \frac{5}{8}$$ . You add the numerators (2 + 3) and keep the denominator (8).

The result is $$\frac{5}{5}$$ , which simplifies to 1.

The result is a new fraction where the numerator is the sum of the original numerators, and the denominator remains the same.

The simplified form is $$\frac{3}{4}$$ , as both the numerator and denominator can be divided by 2.

Divide both the numerator and denominator by their greatest common divisor, which is 2. So, $$\frac{2}{4} = \frac{1}{2}$$ .