Question

Question 21

State whether the given statements are true (T) or false (F).

$27c{m}^2:57c{m}^2=18cm:38cm$

Answer 1

Given, $27c{m}^2:57c{m}^2=18cm:38cm\Rightarrow \frac{27}{57}=\frac{18}{38}$
Simplest form of $\frac{27}{57}=\frac{9}{19}$ [on dividing numerator and denominator by 3]
Simplest form of $\frac{18}{38}=\frac{9}{19}$ [on dividing numerator and denominator by 2]
Simplest form of both the ratios are equal as $\frac{9}{19}=\frac{9}{19}$.

Hence, the given statement is true.