Question

Choose the equivalent rational numbers of $\frac{8}{18}.$

• A. $\frac{4}{9}$
• B. $\frac{16}{36}$
• C. $\frac{24}{54}$
• D. $\frac{24}{34}$

Answer 1

Answer: (A), (B), (C)

The correct options are
A $\frac{4}{9}$
B $\frac{16}{36}$
C $\frac{24}{54}$

Dividing both the numerator and denominator of $\frac{8}{18}$ by 2, we have

$\frac{8÷2}{18÷2}=\frac{4}{9}.$

Multiplying both the numerator and denominator of $\frac{8}{18}$ by 2, we have:
$\frac{8\times 2}{18\times 2}=\frac{16}{36}$

Similarly, $\frac{8\times 3}{18\times 3}=\frac{24}{54}.$

So, among the given options, equivalent rational numbers of $\frac{8}{18}$ are:
$\frac{4}{9}$,$\frac{16}{36}$ and $\frac{24}{54}.$