Question

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

Explanation:

Step1: Find common denominator

The least common denominator of 5 and 7 is $5 \times 7 = 35$.

Step2: Rewrite fractions with LCD

$\frac{4}{5} = \frac{4 \times 7}{5 \times 7} = \frac{28}{35}$, $\frac{6}{7} = \frac{6 \times 5}{7 \times 5} = \frac{30}{35}$

Step3: Add the numerators

$\frac{28}{35} + \frac{30}{35} = \frac{28 + 30}{35}$

Step4: Simplify the fraction

$\frac{58}{35}$ (58 and 35 share no common factors other than 1)

Answer:

$\frac{58}{35}$