Question

evaluate the expression shown below and write your answer as a fraction or mixed number in simplest form.
\\(\frac{11}{4}\div(\frac{1}{4}+\frac{5}{4})\\)
answer attempt 1 out of 2

Explanation:

Step1: Calculate the sum in the parentheses

$\frac{1}{4}+\frac{5}{4}=\frac{1 + 5}{4}=\frac{6}{4}=\frac{3}{2}$

Step2: Rewrite the division as multiplication

$\frac{11}{4}\div\frac{3}{2}=\frac{11}{4}\times\frac{2}{3}$

Step3: Multiply the fractions

$\frac{11\times2}{4\times3}=\frac{22}{12}=\frac{11}{6}=1\frac{5}{6}$

Answer:

$1\frac{5}{6}$