Chapter 6.4, Problem 14OE

To determine

To find: The LCD for each group of fractions.

Answer to Problem 14OE

The value of LCD is $30$.

Explanation of Solution

Given:

The given fractions are,

  $\frac{2}{5},\frac{5}{6},\frac{3}{10}$

Calculation:

Consider the given fractions as,

  $\frac{2}{5},\frac{5}{6},\frac{3}{10}$

The prime factor of $5$ is,

  $5=5\times 1$

The prime factor of $6$ is,

  $6=2\times 3$

The prime factor of $6$ is,

  $10=5\times 2$

Then, the LCD of the given fractions is the product of numbers with their maximum powers.

  $5\times 2\times 3=30$