Chapter 6.4, Problem 23WE

To determine

To find: The LCD for each group of fractions.

Answer to Problem 23WE

The value of LCD is $30$.

Explanation of Solution

Given:

The given fractions are,

  $\frac{5}{2},\frac{1}{6},\frac{3}{5}$

Calculation:

Consider the given fractions are,

  $\frac{5}{2},\frac{1}{6},\frac{3}{5}$

Consider the prime factors of $2$ are,

  $2=2$

Consider the prime factors of $5$ are,

  $5=5$

Consider the prime factors of $6$ are,

  $6=2\times 3$

Thus, the greatest power of $2$ is 1, $5$ is 1 and the greatest power of 3 is 1. Then, the LCD of $5$ , 2 and $6$ is,

  $2\times 5\times 3=30$