Question

find the value of the expression.\\(\frac{5}{8} + \frac{1}{6}\\)\\(\circ\\) 6/14\\(\circ\\) 6/24\\(\circ\\) 19/24\\(\circ\\) 11/24

Explanation:

Step1: Find a common denominator

The denominators are 8 and 6. The least common multiple of 8 and 6 is 24. So we rewrite the fractions with denominator 24.
For $\frac{5}{8}$, multiply numerator and denominator by 3: $\frac{5\times3}{8\times3}=\frac{15}{24}$.
For $\frac{1}{6}$, multiply numerator and denominator by 4: $\frac{1\times4}{6\times4}=\frac{4}{24}$.

Step2: Add the fractions

Now add the two fractions with the common denominator: $\frac{15}{24}+\frac{4}{24}=\frac{15 + 4}{24}=\frac{19}{24}$.

Answer:

19/24