Question

question
evaluate the expression shown below and write your answer as a fraction in simplest form.
$\frac{5}{6}-\frac{1}{4}$

Explanation:

Step1: Find common denominator

The least common denominator of 6 and 4 is 12.

Step2: Rewrite fractions

$\frac{5}{6} = \frac{5\times2}{6\times2} = \frac{10}{12}$, $\frac{1}{4} = \frac{1\times3}{4\times3} = \frac{3}{12}$

Step3: Subtract the fractions

$\frac{10}{12} - \frac{3}{12} = \frac{10-3}{12}$

Step4: Simplify the result

$\frac{7}{12}$ (7 and 12 have no common factors other than 1)

Answer:

$\frac{7}{12}$