Solve 15/8div(1/6+25%)*2.4

$$\frac{ 15 }{ 8 } \div ( \frac{ 1 }{ 6 } +25 \% ) \times 2.4$$

Evaluate

$$10.8$$

Solution Steps

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

$$\frac{\frac{15}{8}}{\frac{1}{6}+\frac{1}{4}}\times 2.4$$

Least common multiple of 6 and 4 is 12. Convert \frac{1}{6} and \frac{1}{4} to fractions with denominator 12.

$$\frac{\frac{15}{8}}{\frac{2}{12}+\frac{3}{12}}\times 2.4$$

Since \frac{2}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{\frac{15}{8}}{\frac{2+3}{12}}\times 2.4$$

Add 2 and 3 to get 5.

$$\frac{\frac{15}{8}}{\frac{5}{12}}\times 2.4$$

Divide \frac{15}{8} by \frac{5}{12} by multiplying \frac{15}{8} by the reciprocal of \frac{5}{12}.

$$\frac{15}{8}\times \frac{12}{5}\times 2.4$$

Multiply \frac{15}{8} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 12}{8\times 5}\times 2.4$$

Do the multiplications in the fraction \frac{15\times 12}{8\times 5}.

$$\frac{180}{40}\times 2.4$$

Reduce the fraction \frac{180}{40} to lowest terms by extracting and canceling out 20.

$$\frac{9}{2}\times 2.4$$

Convert decimal number 2.4 to fraction \frac{24}{10}. Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}\times \frac{12}{5}$$

Multiply \frac{9}{2} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 12}{2\times 5}$$

Do the multiplications in the fraction \frac{9\times 12}{2\times 5}.

$$\frac{108}{10}$$

Reduce the fraction \frac{108}{10} to lowest terms by extracting and canceling out 2.

$$\frac{54}{5}$$

Factor

$$\frac{2 \cdot 3 ^ {3}}{5} = 10\frac{4}{5} = 10.8$$