Question

add.
\\(\frac{3}{5} + \frac{5}{7}\\)
write your answer as a fraction in simplest form.

Explanation:

Step1: Find common denominator

The least common denominator of 5 and 7 is $5 \times 7 = 35$.
Rewrite fractions with denominator 35:
$\frac{3}{5} = \frac{3 \times 7}{5 \times 7} = \frac{21}{35}$, $\frac{5}{7} = \frac{5 \times 5}{7 \times 5} = \frac{25}{35}$

Step2: Add the numerators

Add the numerators of the equivalent fractions:
$\frac{21}{35} + \frac{25}{35} = \frac{21 + 25}{35}$

Step3: Simplify the result

Calculate the sum of numerators:
$\frac{21 + 25}{35} = \frac{46}{35}$
46 and 35 share no common factors other than 1, so the fraction is in simplest form.

Answer:

$\frac{46}{35}$