Question

question 5 of 10, step 1 of 1
compute the sum indicated and simplify your answer.
\\(\frac{5}{13} + \frac{2}{15} + \frac{3}{6}\\)
answer

Explanation:

Step1: Find least common denominator

The denominators are 13, 15, 6. The least common multiple of 13, 15, 6 is 390.

Step2: Rewrite fractions with LCD

$\frac{5}{13} = \frac{5 \times 30}{13 \times 30} = \frac{150}{390}$
$\frac{2}{15} = \frac{2 \times 26}{15 \times 26} = \frac{52}{390}$
$\frac{3}{6} = \frac{3 \times 65}{6 \times 65} = \frac{195}{390}$

Step3: Add the numerators

$\frac{150 + 52 + 195}{390} = \frac{397}{390}$

Answer:

$\frac{397}{390}$ or $1\frac{7}{390}$