Question

evaluate the expression shown below and write your answer as a fraction in simplest form.
\\(\frac{7}{8} + \frac{1}{12}\\)

Explanation:

Step1: Find a common denominator

The denominators are 8 and 12. The least common multiple of 8 and 12 is 24. So we rewrite the fractions with denominator 24.
For $\frac{7}{8}$, multiply numerator and denominator by 3: $\frac{7\times3}{8\times3}=\frac{21}{24}$.
For $\frac{1}{12}$, multiply numerator and denominator by 2: $\frac{1\times2}{12\times2}=\frac{2}{24}$.

Step2: Add the fractions

Now we add the two fractions with the common denominator: $\frac{21}{24}+\frac{2}{24}=\frac{21 + 2}{24}=\frac{23}{24}$.

Answer:

$\frac{23}{24}$