Solve 12*(75%+5/6)=

$$12 \times ( 75 \% + \frac { 5 } { 6 } ) =$$

Evaluate

$$19$$

Solution Steps

Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$12\left(\frac{3}{4}+\frac{5}{6}\right)$$

Least common multiple of 4 and 6 is 12. Convert \frac{3}{4} and \frac{5}{6} to fractions with denominator 12.

$$12\left(\frac{9}{12}+\frac{10}{12}\right)$$

Since \frac{9}{12} and \frac{10}{12} have the same denominator, add them by adding their numerators.

$$12\times \frac{9+10}{12}$$

Add 9 and 10 to get 19.

$$12\times \frac{19}{12}$$

Cancel out 12 and 12.

$$19$$

Factor

$$19$$