Solve (1/5div3/8)-(2/7*9/3)

$$( 1 / 5 \div 3 / 8 ) - ( \frac { 2 } { 7 } \times \frac { 9 } { 3 } )$$

Evaluate

$$-\frac{34}{105}\approx -0.323809524$$

Solution Steps

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

$$\frac{1}{5}\times \frac{8}{3}-\frac{2}{7}\times \frac{9}{3}$$

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

$$\frac{1\times 8}{5\times 3}-\frac{2}{7}\times \frac{9}{3}$$

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

$$\frac{8}{15}-\frac{2}{7}\times \frac{9}{3}$$

Divide 9 by 3 to get 3.

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

Express \frac{2}{7}\times 3 as a single fraction.

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

Multiply 2 and 3 to get 6.

$$\frac{8}{15}-\frac{6}{7}$$

Least common multiple of 15 and 7 is 105. Convert \frac{8}{15} and \frac{6}{7} to fractions with denominator 105.

$$\frac{56}{105}-\frac{90}{105}$$

Since \frac{56}{105} and \frac{90}{105} have the same denominator, subtract them by subtracting their numerators.

$$\frac{56-90}{105}$$

Subtract 90 from 56 to get -34.

$$-\frac{34}{105}$$

Factor

$$-\frac{34}{105} = -0.3238095238095238$$