Solve 132/4+328/27=

$$13 \frac { 2 } { 4 } + 3 \frac { 28 } { 27 } =$$

Evaluate

$$\frac{947}{54}\approx 17.537037037$$

Solution Steps

Multiply 13 and 4 to get 52.

$$\frac{52+2}{4}+\frac{3\times 27+28}{27}$$

Add 52 and 2 to get 54.

$$\frac{54}{4}+\frac{3\times 27+28}{27}$$

Reduce the fraction \frac{54}{4} to lowest terms by extracting and canceling out 2.

$$\frac{27}{2}+\frac{3\times 27+28}{27}$$

Multiply 3 and 27 to get 81.

$$\frac{27}{2}+\frac{81+28}{27}$$

Add 81 and 28 to get 109.

$$\frac{27}{2}+\frac{109}{27}$$

Least common multiple of 2 and 27 is 54. Convert \frac{27}{2} and \frac{109}{27} to fractions with denominator 54.

$$\frac{729}{54}+\frac{218}{54}$$

Since \frac{729}{54} and \frac{218}{54} have the same denominator, add them by adding their numerators.

$$\frac{729+218}{54}$$

Add 729 and 218 to get 947.

$$\frac{947}{54}$$

Factor

$$\frac{947}{2 \cdot 3 ^ {3}} = 17\frac{29}{54} = 17.537037037037038$$