Question

Which fraction is equivalent to $\frac{2}{3}$?

Answer 1

Equivalent fractions are formed when the numerator and denominator of a given fraction are multiplied by the same number.

$\frac{2}{3}=\frac{2\times 2}{3\times 2}=\frac{4}{6}(\ne \frac{4}{9})$

$\frac{2}{3}=\frac{2\times 3}{3\times 3}=\frac{6}{9}(\ne \frac{6}{10})$

$\frac{2}{3}=\frac{2\times 4}{3\times 4}=\frac{8}{12}(\ne \frac{8}{10})$

$\frac{2}{3}=\frac{2\times 5}{3\times 5}=\frac{10}{15}$

$\frac{2}{3}=\frac{2\times 6}{3\times 6}=\frac{12}{18}$

$\therefore$ The correct answer is $\frac{12}{18}.$