Solve 1/2+(3/4-1/12)*3/5

$$\frac{ 1 }{ 2 } +( \frac{ 3 }{ 4 } - \frac{ 1 }{ 12 } ) \times \frac{ 3 }{ 5 }$$

Evaluate

$$\frac{9}{10}=0.9$$

Solution Steps

Least common multiple of 4 and 12 is 12. Convert \frac{3}{4} and \frac{1}{12} to fractions with denominator 12.

$$\frac{1}{2}+\left(\frac{9}{12}-\frac{1}{12}\right)\times \frac{3}{5}$$

Since \frac{9}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{2}+\frac{9-1}{12}\times \frac{3}{5}$$

Subtract 1 from 9 to get 8.

$$\frac{1}{2}+\frac{8}{12}\times \frac{3}{5}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2}+\frac{2}{3}\times \frac{3}{5}$$

Multiply \frac{2}{3} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{2}+\frac{2\times 3}{3\times 5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{1}{2}+\frac{2}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{2}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{4}{10}$$

Since \frac{5}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+4}{10}$$

Add 5 and 4 to get 9.

$$\frac{9}{10}$$

Factor

$$\frac{3 ^ {2}}{2 \cdot 5} = 0.9$$