Evaluate (23)+[(45)⋅(16)]

Question

Sharolyn Larson · Accepted Answer

Step 1
Solve the fraction expression by first solving the expressions in the parenthesis followed by multiplication of numerator of first fraction to numerator of the second and denominator of first fraction to denominator of the second
Then add the resultant fraction to the other fraction by making both the fractions equivalent by multiplying some constant in the numerator and denominator.

(\frac{2}{3}) + [(\frac{4}{5}) \cdot (\frac{1}{6})] = \frac{2}{3} + [\frac{4}{5} \cdot \frac{1}{6}]

= \frac{2}{3} + [\frac{1 \cdot 4}{5.6}]

= \frac{2}{3} + [\frac{4}{30}]

= \frac{2}{3} + \frac{4}{30}

= \frac{2 \cdot 10}{3 \cdot 10} + \frac{4}{30}

= \frac{20}{30} + \frac{4}{30}

= \frac{4 + 20}{30}

= \frac{24}{30}

= \frac{4}{5}

Step 2
Thus the required evaluated expression for the given expression is

\frac{4}{5}

.

Evaluate (\frac{2}{3})+[(\frac{4}{5}) \cdot (\frac{1}{6})]

Answered question

Answer & Explanation

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