Chapter 6, Problem 12MCQ

To determine

To tell :whether the ratio form a proportion for $\frac{8}{9},\frac{36}{32}$ .

Answer to Problem 12MCQ

The ratio $\frac{8}{9},\frac{36}{32}$ is not in a form of proportion.

Explanation of Solution

Given information : consider, the ratiosprovided in the question,

  $\frac{8}{9},\frac{36}{32}$ .

Formula used :cross product property −

  $\begin{array}{l}\frac{a}{b}=\frac{c}{d}\\ ab=cb\\ \end{array}$

Calculation : to solve this use cross product property, if the ratios verify the cross product property then it will form the proportion.

Consider the ratios form proportion so use cross product property,

  $\frac{8}{9},\frac{36}{32}$

  $\begin{array}{l}\frac{8}{9}=\frac{36}{32}\\ 8·32=36·9\\ 256\ne 324\end{array}$

Hence,

Thus,The ratio $\frac{8}{9},\frac{36}{32}$ is not in a form of proportion.