Question

perform the indicated operation. if possible, reduce the answer to lowest terms.

\\\frac{4}{7} + \frac{4}{21}\\

\\\frac{4}{7} + \frac{4}{21} = \\
(type an integer or simplified fraction.)

Explanation:

Find a common denominator

$$ \text{LCD}(7, 21) = 21 $$

$$ \frac{4}{7} = \frac{4 \times 3}{7 \times 3} = \frac{12}{21} $$

Add the fractions

$$ \frac{12}{21} + \frac{4}{21} = \frac{12 + 4}{21} = \frac{16}{21} $$

Simplify the fraction

$$ \text{gcd}(16, 21) = 1 \implies \frac{16}{21} \text{ is in lowest terms} $$

Answer:

\(\frac{4}{7} + \frac{4}{21} =\) <blank>\(\frac{16}{21}\)</blank>