Chapter 4.4, Problem 12C

To determine

Use LCD to determine which fraction is greater.

Answer to Problem 12C

  $\frac{5}{16}$ is greater than $\frac{3}{10}$ .

Explanation of Solution

Given information: $\frac{5}{16},\frac{3}{10}$

Formula Used: Factorisation

Calculation:

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

LCM of 16 and 10 is 80.

So ,denominator of both fractions 80.

  $\frac{5\times 5}{16\times 5}=\frac{25}{80}$

  $\frac{3\times 8}{10\times 8}=\frac{24}{80}$

  $\frac{25}{80}>\frac{24}{80}$

So, $\frac{5}{16}$ is greater than $\frac{3}{10}$ .