Solve (3/5*1/10)-(3/5*2/30)

$$( \frac { 3 } { 5 } \times \frac { 1 } { 10 } ) - ( \frac { 3 } { 5 } \times \frac { 2 } { 30 } )$$

Evaluate

$$\frac{1}{50}=0.02$$

Solution Steps

Multiply \frac{3}{5} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1}{5\times 10}-\frac{3}{5}\times \frac{2}{30}$$

Do the multiplications in the fraction \frac{3\times 1}{5\times 10}.

$$\frac{3}{50}-\frac{3}{5}\times \frac{2}{30}$$

Reduce the fraction \frac{2}{30} to lowest terms by extracting and canceling out 2.

$$\frac{3}{50}-\frac{3}{5}\times \frac{1}{15}$$

Multiply \frac{3}{5} times \frac{1}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{50}-\frac{3\times 1}{5\times 15}$$

Do the multiplications in the fraction \frac{3\times 1}{5\times 15}.

$$\frac{3}{50}-\frac{3}{75}$$

Reduce the fraction \frac{3}{75} to lowest terms by extracting and canceling out 3.

$$\frac{3}{50}-\frac{1}{25}$$

Least common multiple of 50 and 25 is 50. Convert \frac{3}{50} and \frac{1}{25} to fractions with denominator 50.

$$\frac{3}{50}-\frac{2}{50}$$

Since \frac{3}{50} and \frac{2}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-2}{50}$$

Subtract 2 from 3 to get 1.

$$\frac{1}{50}$$

Factor

$$\frac{1}{2 \cdot 5 ^ {2}} = 0.02$$