Question

Find five rational numbers equivalent to each of the following.

$1$

Answer 1

If both numerator and denominator of a rational number are either multiplied or divided by the same non zero number , we get an equivalent rational number.

$1$can be written as $\frac{1}{1}$

$$\begin{gathered} \frac{1}{1}=\frac{1\times 2}{1\times 2}=\frac{1\times 3}{1\times 3}=\frac{1\times 4}{1\times 4}=\frac{1\times 5}{1\times 5}=\frac{1\times 6}{1\times 6} \\ \Rightarrow \frac{1}{1}=\frac{2}{2}=\frac{3}{3}=\frac{4}{4}=\frac{5}{5}=\frac{6}{6} \end{gathered}$$

So, five rational numbers equivalent to $1$ are $\frac{2}{2},\frac{3}{3},\frac{4}{4},\frac{5}{5}$ and $\frac{6}{6}.$