Question

evaluate the expression shown below and write your answer as a fraction or mixed number in simplest form.
\\(\frac{3}{2}\cdot(\frac{4}{9}+\frac{1}{6})\\)
answer attempt 1 out of 2
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Explanation:

Step1: Find a common - denominator for the sum in parentheses.

The common denominator of 9 and 6 is 18. So, $\frac{4}{9}+\frac{1}{6}=\frac{4\times2}{9\times2}+\frac{1\times3}{6\times3}=\frac{8}{18}+\frac{3}{18}=\frac{8 + 3}{18}=\frac{11}{18}$

Step2: Multiply the result by $\frac{3}{2}$.

$\frac{3}{2}\times\frac{11}{18}=\frac{3\times11}{2\times18}=\frac{33}{36}$

Step3: Simplify the fraction.

$\frac{33\div3}{36\div3}=\frac{11}{12}$

Answer:

$\frac{11}{12}$