Solve 8/10*15/9-10/12

$$\frac { 8 } { 10 } \cdot \frac { 15 } { 9 } - \frac { 10 } { 12 }$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Reduce the fraction \frac{8}{10} to lowest terms by extracting and canceling out 2.

$$\frac{4}{5}\times \frac{15}{9}-\frac{10}{12}$$

Reduce the fraction \frac{15}{9} to lowest terms by extracting and canceling out 3.

$$\frac{4}{5}\times \frac{5}{3}-\frac{10}{12}$$

Multiply \frac{4}{5} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 5}{5\times 3}-\frac{10}{12}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4}{3}-\frac{10}{12}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{4}{3}-\frac{5}{6}$$

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

$$\frac{8}{6}-\frac{5}{6}$$

Since \frac{8}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-5}{6}$$

Subtract 5 from 8 to get 3.

$$\frac{3}{6}$$

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

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$