Chapter 0.4, Problem 19E

To determine

To find: The simplest form of the given sum or difference.

Answer to Problem 19E

The simplest form of the difference is $\frac{1}{9}$ .

Explanation of Solution

Given:

The given difference is $\frac{1}{3}-\frac{2}{9}$ .

Calculation:

Consider the given difference,

  $\frac{1}{3}-\frac{2}{9}$

Consider the factors of 3 is,

  $3=1\times 3$

Consider the factors of 9 is,

  $9=3\times 3$

Consider the LCM of 3 and 9 is,

  $3\times 3=9$

Consider the fraction $\frac{1}{3}$ as,

  $\begin{array}{c}\frac{1}{3}=\frac{1\times 3}{3\times 3}\\ =\frac{3}{9}\end{array}$

Then, the difference is,

  $\begin{array}{c}\frac{3}{9}-\frac{2}{9}=\frac{3-2}{9}\\ =\frac{1}{9}\end{array}$