Solve (1/3+1/6+37.5%)*24

$$( \frac { 1 } { 3 } + \frac { 1 } { 6 } + 37.5 \% ) \times 24$$

Evaluate

$$21$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{1}{3} and \frac{1}{6} to fractions with denominator 6.

$$\left(\frac{2}{6}+\frac{1}{6}+\frac{37.5}{100}\right)\times 24$$

Since \frac{2}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$\left(\frac{2+1}{6}+\frac{37.5}{100}\right)\times 24$$

Add 2 and 1 to get 3.

$$\left(\frac{3}{6}+\frac{37.5}{100}\right)\times 24$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\left(\frac{1}{2}+\frac{37.5}{100}\right)\times 24$$

Expand \frac{37.5}{100} by multiplying both numerator and the denominator by 10.

$$\left(\frac{1}{2}+\frac{375}{1000}\right)\times 24$$

Reduce the fraction \frac{375}{1000} to lowest terms by extracting and canceling out 125.

$$\left(\frac{1}{2}+\frac{3}{8}\right)\times 24$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{3}{8} to fractions with denominator 8.

$$\left(\frac{4}{8}+\frac{3}{8}\right)\times 24$$

Since \frac{4}{8} and \frac{3}{8} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{8}\times 24$$

Add 4 and 3 to get 7.

$$\frac{7}{8}\times 24$$

Express \frac{7}{8}\times 24 as a single fraction.

$$\frac{7\times 24}{8}$$

Multiply 7 and 24 to get 168.

$$\frac{168}{8}$$

Divide 168 by 8 to get 21.

$$21$$

Factor

$$3\times 7$$