Chapter 0.4, Problem 14E

To determine

To calculate: The simplified form of $\frac{6}{7}-\frac{3}{7}$ .

Answer to Problem 14E

The simplified form of $\frac{6}{7}-\frac{3}{7}$ is $\frac{3}{7}$ .

Explanation of Solution

Given information:

The statement “ $\frac{6}{7}-\frac{3}{7}$ .”

Formula used:

When two or more fractions with same denominators are added or subtracted then only numerators are added or subtracted , denominator remains unchanged.

Consider the provided statement “ $\frac{6}{7}-\frac{3}{7}$ .”

Recall that when two fractions having same denominator are subtracted then only numerators are subtracted, denominator remains unchanged.

So, the given expression can be simplified as,

  $\begin{array}{c}\frac{6}{7}-\frac{3}{7}=\frac{6-3}{7}\\ \frac{6}{7}-\frac{3}{7}=\frac{3}{7}\end{array}$

Since, $\frac{3}{7}$ cannot be simplified further,

Hence, the simplified form of $\frac{6}{7}-\frac{3}{7}$ is $\frac{3}{7}$ .