Chapter 4.4, Problem 11C

To determine

Use LCD to find which fraction is greater.

Answer to Problem 11C

  $\frac{11}{15}$ is greater than $\frac{7}{12}$ .

Explanation of Solution

Given information: $\frac{7}{12},\frac{11}{15}$

Formula Used: Factorisation

Calculation:

Convert these fractions to equivalent fractions with common denominator in order to compare them more easily.

LCM of 12 and 15 is 60

So ,denominator of both fractions 60.

  $\frac{7\times 5}{12\times 5}=\frac{35}{60}$

  $\frac{11*4}{15*4}=\frac{44}{60}$

  $\frac{44}{60}>\frac{35}{60}$

So, $\frac{11}{15}$ is greater than $\frac{7}{12}$ .