Chapter 0.4, Problem 35E

To determine

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

Answer to Problem 35E

The simplest form of the difference is $\frac{-5}{6}$ .

Explanation of Solution

Given:

The given difference is $-\frac{1}{6}-\frac{2}{3}$ .

Calculation:

Consider the given difference,

  $-\frac{1}{6}-\frac{2}{3}$

Consider the factors of 6 is,

  $6=2\times 3$

Consider the factors of 3 is,

  $3=3\times 1$

Consider the LCM of 6 and 3 is,

  $2\times 3=6$

Consider the fraction $\frac{2}{3}$ as,

  $\begin{array}{c}\frac{2}{3}=\frac{2\times 2}{3\times 2}\\ =\frac{4}{6}\end{array}$

Then, the difference is,

  $\begin{array}{c}-\frac{1}{6}-\frac{4}{6}=\frac{-1-4}{6}\\ =\frac{-5}{6}\end{array}$