Q58. - Algebra 1

Question

Evaluate each expression.

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

Step-by-Step Solution

Answer

The required value of the expression is $-\frac{11}{6}$.

Step 1. Make the denominator the same.

$\frac{5}{6}-\frac{8}{3}=\frac{5\times 1}{6\times 1}-\frac{8\times 2}{3\times 2}$

Step 2. Multiply the numbers.

$\frac{5}{6}-\frac{8}{3}=\frac{5}{6}-\frac{16}{6}$

Step 3. Subtract the top numbers and put the answer over the same denominator.

$\begin{array}{l}\frac{5}{6}-\frac{8}{3}=\frac{5-16}{6}\\ \frac{5}{6}-\frac{8}{3}=\frac{-11}{6}\end{array}$