Question

Complete the following series using an equivalent fraction.

$\frac{1}{2},\frac{2}{4},\frac{3}{6},\frac{4}{8},\underline{},\underline{},\underline{}$

Answer 1

Equivalent fractions:

The equivalent fraction can be defined as fractions that may have different numerators and denominators but they represent the same value.

Example: $\frac{9}{12}$ and $\frac{6}{8}$ are equivalent fractions because both are equal are to $\frac{3}{4}$ when simplified.

Given,

$\frac{1}{2},\frac{2}{4},\frac{3}{6},\frac{4}{8},\underline{},\underline{},\underline{}$

Here, the step by step numerators are increased by $1$ and the denominators are increased by $2$.

Therefore, the equivalent fractions are $\frac{1}{2},\frac{2}{4},\frac{3}{6},\frac{4}{8},\frac{5}{10},\frac{6}{12},\frac{7}{14}$.