Solve (1/5div3/8)-(2/7*7/3)

$$( 1 / 5 \div 3 / 8 ) - ( \frac { 2 } { 7 } \times \frac { 7 } { 3 } )$$

Evaluate

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

Solution Steps

Divide \frac{1}{5} by \frac{3}{8} by multiplying \frac{1}{5} by the reciprocal of \frac{3}{8}.

$$\frac{1}{5}\times \frac{8}{3}-\frac{2}{7}\times \frac{7}{3}$$

Multiply \frac{1}{5} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 8}{5\times 3}-\frac{2}{7}\times \frac{7}{3}$$

Do the multiplications in the fraction \frac{1\times 8}{5\times 3}.

$$\frac{8}{15}-\frac{2}{7}\times \frac{7}{3}$$

Multiply \frac{2}{7} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8}{15}-\frac{2\times 7}{7\times 3}$$

Cancel out 7 in both numerator and denominator.

$$\frac{8}{15}-\frac{2}{3}$$

Least common multiple of 15 and 3 is 15. Convert \frac{8}{15} and \frac{2}{3} to fractions with denominator 15.

$$\frac{8}{15}-\frac{10}{15}$$

Since \frac{8}{15} and \frac{10}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-10}{15}$$

Subtract 10 from 8 to get -2.

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

Factor

$$-\frac{2}{15} = -0.13333333333333333$$