Fractions on a Number Line

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 numerator is the top number of a fraction and represents how many parts of the whole are being considered.

The denominator is the bottom number of a fraction and indicates the total number of equal parts the whole is divided into.

To represent $$\frac{1}{2}$$ on a number line, locate the midpoint between 0 and 1.

An equivalent fraction is a fraction that represents the same value as another fraction, even though the numerator and denominator are different. For example, $$\frac{1}{2}$$ is equivalent to $$\frac{2}{4}$$ .

To find an equivalent fraction, you can multiply or divide both the numerator and denominator by the same non-zero number. For example, multiplying $$\frac{1}{2}$$ by 2 gives $$\frac{2}{4}$$ .

The fraction represented is $$\frac{1}{2}$$ .

An equivalent fraction for $$\frac{4}{10}$$ is $$\frac{2}{5}$$ .

To simplify $$\frac{6}{8}$$ , divide both the numerator and denominator by their greatest common divisor, which is 2. This gives $$\frac{3}{4}$$ .

An equivalent fraction to $$\frac{2}{3}$$ is $$\frac{4}{6}$$ .