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add. \\(\\frac{3}{5} + \\frac{6}{7}\\) write your answer as a fraction …

Question

add.
\\(\frac{3}{5} + \frac{6}{7}\\)
write your answer as a fraction in simp

Explanation:

Step1: Find a common denominator

The denominators are 5 and 7, so the common denominator is $5\times7 = 35$.

Step2: Rewrite the fractions

Rewrite $\frac{3}{5}$ as $\frac{3\times7}{5\times7}=\frac{21}{35}$ and $\frac{6}{7}$ as $\frac{6\times5}{7\times5}=\frac{30}{35}$.

Step3: Add the fractions

Add the numerators: $\frac{21}{35}+\frac{30}{35}=\frac{21 + 30}{35}=\frac{51}{35}$.

Answer:

$\frac{51}{35}$