Question

Four rational number equivalent to $\frac{5}{8}$ are:

• A. $\frac{10}{6}$,$\frac{12}{24}$,$\frac{20}{32}$,$\frac{25}{40}$
• B. $\frac{10}{16}$,$\frac{15}{24}$,$\frac{20}{32}$,$\frac{25}{40}$
• C. $\frac{10}{16}$,$\frac{15}{24}$,$\frac{8}{32}$,$\frac{25}{40}$
• D. $\frac{8}{16}$,$\frac{15}{24}$,$\frac{20}{32}$,$\frac{25}{40}$

Answer 1

The correct option is B $\frac{10}{16}$,$\frac{15}{24}$,$\frac{20}{32}$,$\frac{25}{40}$

$\frac{5}{8}$= $\frac{5\times 2}{8\times 2}$= $\frac{5\times 3}{8\times 3}$= $\frac{5\times 4}{8\times 4}$= $\frac{5\times 5}{8\times 5}$

$\therefore \frac{5}{8}$= $\frac{10}{16}$= $\frac{15}{24}$= $\frac{20}{32}$= $\frac{25}{40}$

Thus four rational number equivalent to $\frac{5}{8}$ are :
$\frac{10}{16}$, $\frac{15}{24}$, $\frac{20}{32}$, $\frac{25}{40}$