Question

question
evaluate the expression shown below and write your answer as a fraction in simple
\\(\frac{3}{4} - \frac{1}{6}\\)

Explanation:

Step1: Find a common denominator

The denominators are 4 and 6. The least common denominator (LCD) of 4 and 6 is 12. Convert the fractions: $\frac{3}{4}=\frac{3\times3}{4\times3}=\frac{9}{12}$, $\frac{1}{6}=\frac{1\times2}{6\times2}=\frac{2}{12}$.

Step2: Subtract the fractions

Subtract the numerators: $\frac{9}{12}-\frac{2}{12}=\frac{9 - 2}{12}=\frac{7}{12}$.

Answer:

$\frac{7}{12}$