Chapter 3, Problem 9CR

To determine

To replace: $○$ with >, < or = to make the statement true.

Answer to Problem 9CR

To make the provided statement true replace $○$ with >,

  $2\frac{1}{2}>2\frac{5}{12}$

Explanation of Solution

Given information: $2\frac{1}{2}○2\frac{5}{12}$

Convert both the fractions into decimal numbers,

  $\begin{array}{l}2\frac{1}{2}=2.5\\ -2\frac{5}{12}=2.41\overline{6}\end{array}$

Annex two zeros in $2.5$ ,

  $2.500$

Therefore,

  $2.500>2.41\overline{6}$

Hence, to make the provided statement replace $○$ with >,

  $2\frac{1}{2}>2\frac{5}{12}$