evaluate the expression shown below and write your answer as a fraction in simplest form.\n$\frac{5}{6}-\frac…

evaluate the expression shown below and write your answer as a fraction in simplest form.\n$\frac{5}{6}-\frac{3}{8}$

evaluate the expression shown below and write your answer as a fraction in simplest form.\n$\frac{5}{6}-\frac{3}{8}$

Answer

Explanation:

Step1: Find common denominator

The least - common multiple of 6 and 8 is 24. So we rewrite the fractions: $\frac{5}{6}=\frac{5\times4}{6\times4}=\frac{20}{24}$ and $\frac{3}{8}=\frac{3\times3}{8\times3}=\frac{9}{24}$.

Step2: Subtract the fractions

$\frac{20}{24}-\frac{9}{24}=\frac{20 - 9}{24}$.

Step3: Simplify the result

$\frac{20 - 9}{24}=\frac{11}{24}$.

Answer:

$\frac{11}{24}$