Q16. - Algebra 1

Question

Find each sum or difference. Write in simplest form.$\frac{1}{7}+\frac{5}{7}$

Step-by-Step Solution

Answer

The simplest form is $\frac{6}{7}$.

Step 1. Take L.C.M of the denominators of each fraction.

$\text{L.C.M of 7 and 7 is}=7$

Step 2. Evaluate the sum.

First, make the denominators of all fractions equal to LCM by multiplying the numerator and denominator with an integer. Then add/subtract the numerators directly over the common denominator.

$$\begin{gathered} \frac{1}{7}+\frac{5}{7}=\frac{1+5}{7} \\ =\frac{6}{7} \end{gathered}$$

Step 3. Simplify the result.

Write the fraction with factor form and then simplify it.

$\begin{array}{l}=\frac{3\times 2}{7}\\ =\frac{6}{7}\end{array}$

Therefore, the simplest form is data-custom-editor="chemistry" $\frac{6}{7}$.