Solve 2/3*1/2-1/4*4/5

$$\frac { 2 } { 3 } \times \frac { 1 } { 2 } - \frac { 1 } { 4 } \times \frac { 4 } { 5 }$$

Evaluate

$$\frac{2}{15}\approx 0.133333333$$

Solution Steps

Multiply \frac{2}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1}{3\times 2}-\frac{1}{4}\times \frac{4}{5}$$

Cancel out 2 in both numerator and denominator.

$$\frac{1}{3}-\frac{1}{4}\times \frac{4}{5}$$

Multiply \frac{1}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}-\frac{1\times 4}{4\times 5}$$

Cancel out 4 in both numerator and denominator.

$$\frac{1}{3}-\frac{1}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{1}{3} and \frac{1}{5} to fractions with denominator 15.

$$\frac{5}{15}-\frac{3}{15}$$

Since \frac{5}{15} and \frac{3}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-3}{15}$$

Subtract 3 from 5 to get 2.

$$\frac{2}{15}$$

Factor

$$\frac{2}{3 \cdot 5} = 0.13333333333333333$$