Solve 2/3-(7/4*2/5)

$$\frac { 2 } { 3 } - ( \frac { 7 } { 4 } \cdot \frac { 2 } { 5 } )$$

Evaluate

$$-\frac{1}{30}\approx -0.033333333$$

Solution Steps

Multiply \frac{7}{4} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2}{3}-\frac{7\times 2}{4\times 5}$$

Do the multiplications in the fraction \frac{7\times 2}{4\times 5}.

$$\frac{2}{3}-\frac{14}{20}$$

Reduce the fraction \frac{14}{20} to lowest terms by extracting and canceling out 2.

$$\frac{2}{3}-\frac{7}{10}$$

Least common multiple of 3 and 10 is 30. Convert \frac{2}{3} and \frac{7}{10} to fractions with denominator 30.

$$\frac{20}{30}-\frac{21}{30}$$

Since \frac{20}{30} and \frac{21}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-21}{30}$$

Subtract 21 from 20 to get -1.

$$-\frac{1}{30}$$

Factor

$$-\frac{1}{30} = -0.03333333333333333$$