Question
$27\ cm^2: 57\ cm^2= 18\ cm : 38\ cm$

Answer

Given, $27\ cm^2: 57\ cm^2= 18\ cm : 38\ cm$
$\frac{27}{57} =\frac{18}{38}$
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 $2]$
$\frac{9}{19}=\frac{9}{19}$

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