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evaluate. \\\\frac{5}{6} + \\frac{1}{2} \\cdot \\frac{7}{9}\\ write you…

Question

evaluate.

\\\frac{5}{6} + \frac{1}{2} \cdot \frac{7}{9}\\

write your answer in simplest form.

Explanation:

Apply order of operations to multiply fractions

$$ \frac{1}{2} \cdot \frac{7}{9} = \frac{1 \cdot 7}{2 \cdot 9} = \frac{7}{18} $$

Find a common denominator to add fractions

$$ LATEXBLOCK0 $$

Add the fractions and simplify

$$ \frac{15}{18} + \frac{7}{18} = \frac{22}{18} = \frac{11}{9} $$

Answer:

Evaluate.

$$ \frac{5}{6} + \frac{1}{2} \cdot \frac{7}{9} $$

Write your answer in simplest form.
<blank>\(\frac{11}{9}\)</blank>