Question

Identify whether the given statement is true or not ?

$51:58=85:102$

Answer 1

Here we have to check the Equality between the two ratio

$51:58$ and $85:102$

So,

$$\begin{gathered} 51:58=\frac{51}{58} \\ [DividingnumeratoranddenominatorbytheirHCF1] \\ \frac{51÷1}{58÷1}=\frac{51}{58} \\ or51:58 \end{gathered}$$

Now,

$$\begin{gathered} 85:102=\frac{85}{102} \\ [DividingnumeratoranddenominatorbytheirHCF17] \\ \frac{85÷17}{102÷17}=\frac{5}{6} \\ or5:6 \end{gathered}$$

Clearly, here we see that both ratios are unequal. i.e- $51:58\ne 85:102$

Hence it is $nottrue$.