Chapter 0, Problem 14POT

To determine

The true relation between two numbers $\frac{12}{44},\frac{8}{11}$ .

Answer to Problem 14POT

The true relation is $\frac{12}{44}<\frac{8}{11}$ .

Explanation of Solution

Given information:

Compare two fractions: $\frac{12}{44},\frac{8}{11}$ .

To compare two fractions, write the fractions as decimals.

So,

  $\frac{12}{44}=0.\overline{27}$

And

  $\frac{8}{11}=0.\overline{72}$

Since,

  $\begin{array}{c}0.\overline{27}<0.\overline{72}\\ \frac{12}{44}<\frac{8}{11}\end{array}$

Thus, the true relation is $\frac{12}{44}<\frac{8}{11}$ .