Question

What is 5/6 - 3/8? Chose the answer in the most simplified form. A. 1/3 B. 9/16 C. 1/12 D. 11/24

Answer 1

Given:

$\frac{5}{6}-\frac{3}{8}$

We need to simplify this expression.

The least common multiple of 6 and 8 is 24.

Make the denominator of the fraction as 24.

$\frac{5}{6}-\frac{3}{8}=\frac{5\times4}{6\times4}-\frac{3\times3}{8\times3}$

$\frac{5}{6}-\frac{3}{8}=\frac{20}{24}-\frac{9}{24}$

$\frac{5}{6}-\frac{3}{8}=\frac{20-9}{24}$

$\frac{5}{6}-\frac{3}{8}=\frac{11}{24}$

Final answer:

$\frac{5}{6}-\frac{3}{8}=\frac{11}{24}$