Question

add. (\frac{6}{7} + \frac{4}{5}) write your answer as a fraction in simplest form.

Explanation:

Step1: Find a common denominator

The denominators are 7 and 5. The least common denominator (LCD) of 7 and 5 is \( 7\times5 = 35 \).
Rewrite each fraction with the LCD:
\( \frac{6}{7}=\frac{6\times5}{7\times5}=\frac{30}{35} \)
\( \frac{4}{5}=\frac{4\times7}{5\times7}=\frac{28}{35} \)

Step2: Add the fractions

Now that the fractions have the same denominator, add the numerators:
\( \frac{30}{35}+\frac{28}{35}=\frac{30 + 28}{35}=\frac{58}{35} \)

Answer:

\( \frac{58}{35} \)