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add. \\(\\frac{3}{8} + \\frac{5}{6}\\) write your answer as a fraction …

Question

add.
\\(\frac{3}{8} + \frac{5}{6}\\)
write your answer as a fraction in simplest form.

Explanation:

Step1: Find least common denominator

The least common multiple of 8 and 6 is 24.

Step2: Rewrite fractions with LCD

$\frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24}$, $\frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24}$

Step3: Add the numerators

$\frac{9}{24} + \frac{20}{24} = \frac{9 + 20}{24} = \frac{29}{24}$

Step4: Check simplification

29 is a prime number, so $\frac{29}{24}$ is in simplest form.

Answer:

$\frac{29}{24}$