Question

express the following ratio in simplest from (a) 42:56
(b) 615:213​

Answer 1

$\texttt{Solution (a) : }$

Ratio = 42:56

This ratio as a fraction :-

$= \frac{42}{56}$

$= \frac{42 \div 2}{56 \div 2}$

$= \frac{21}{28}$

As the numerator and denominator of this fraction has no common factor we can conclude that we have simplified it to it's lowest form.

Therefore, the ratio 42:56 in it's simplest form = 21:28

$\texttt{Solution (b) :}$

Ratio = 615:213

This ratio as a fraction :-

$= \frac{615}{213}$

$= \frac{615 \div 3}{213 \div 3}$

$= \frac{205}{71}$

As the numerator and denominator of this fraction has no common factor we can conclude that we have simplified it to it's lowest form.

Therefore, the ratio 615:213 in it's simplest form = 205:71