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

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

Evaluate

$$\frac{3}{40}=0.075$$

Solution Steps

Multiply \frac{3}{4} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 1}{4\times 2}.

$$\frac{3}{8}-\frac{3}{4}\times \frac{2}{5}$$

Multiply \frac{3}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{8}-\frac{3\times 2}{4\times 5}$$

Do the multiplications in the fraction \frac{3\times 2}{4\times 5}.

$$\frac{3}{8}-\frac{6}{20}$$

Reduce the fraction \frac{6}{20} to lowest terms by extracting and canceling out 2.

$$\frac{3}{8}-\frac{3}{10}$$

Least common multiple of 8 and 10 is 40. Convert \frac{3}{8} and \frac{3}{10} to fractions with denominator 40.

$$\frac{15}{40}-\frac{12}{40}$$

Since \frac{15}{40} and \frac{12}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-12}{40}$$

Subtract 12 from 15 to get 3.

$$\frac{3}{40}$$

Factor

$$\frac{3}{2 ^ {3} \cdot 5} = 0.075$$