Chapter 4.4, Problem 50E

To determine

To order the number from least to greatest.

Answer to Problem 50E

  $\frac{9}{22}<\frac{14}{33}<\frac{5}{11}$ .

Explanation of Solution

Given information: $\frac{5}{11},\frac{14}{33},\frac{9}{22}$

Formula Used: Factorisation

Calculation:

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

LCM of 11, 33 and 22 is 66

So , denominator of both fractions 66.

  $\frac{5\times 6}{11\times 6}=\frac{30}{66}$

  $\frac{14\times 2}{33\times 2}=\frac{28}{66}$

  $\frac{9\times 3}{22\times 3}=\frac{27}{66}$

  $\frac{27}{66}<\frac{28}{66}<\frac{30}{66}$

So, $\frac{9}{22}<\frac{14}{33}<\frac{5}{11}$ .