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 a common denominator

The denominators are 6 and 4. The least common denominator of 6 and 4 is 12. Rewrite the fractions with the common denominator: $\frac{5}{6}=\frac{5\times2}{6\times2}=\frac{10}{12}$ and $\frac{1}{4}=\frac{1\times3}{4\times3}=\frac{3}{12}$.

Step2: Subtract the fractions

Subtract the numerators: $\frac{10}{12}-\frac{3}{12}=\frac{10 - 3}{12}=\frac{7}{12}$.

Answer:

$\frac{7}{12}$