Solve (3/5)(2/7)-(2/3)

$$( \frac { 3 } { 5 } ) ( \frac { 2 } { 7 } ) - ( \frac { 2 } { 3 } )$$

Evaluate

$$-\frac{52}{105}\approx -0.495238095$$

Solution Steps

Multiply \frac{3}{5} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{3\times 2}{5\times 7}.

$$\frac{6}{35}-\frac{2}{3}$$

Least common multiple of 35 and 3 is 105. Convert \frac{6}{35} and \frac{2}{3} to fractions with denominator 105.

$$\frac{18}{105}-\frac{70}{105}$$

Since \frac{18}{105} and \frac{70}{105} have the same denominator, subtract them by subtracting their numerators.

$$\frac{18-70}{105}$$

Subtract 70 from 18 to get -52.

$$-\frac{52}{105}$$

Factor

$$-\frac{52}{105} = -0.49523809523809526$$