Solve -4/3*1/2-2/5

$$- \frac { 4 } { 3 } \cdot \frac { 1 } { 2 } - \frac { 2 } { 5 }$$

Evaluate

$$-\frac{16}{15}\approx -1.066666667$$

Solution Steps

Multiply -\frac{4}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-4}{3\times 2}.

$$\frac{-4}{6}-\frac{2}{5}$$

Reduce the fraction \frac{-4}{6} to lowest terms by extracting and canceling out 2.

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

Least common multiple of 3 and 5 is 15. Convert -\frac{2}{3} and \frac{2}{5} to fractions with denominator 15.

$$-\frac{10}{15}-\frac{6}{15}$$

Since -\frac{10}{15} and \frac{6}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-10-6}{15}$$

Subtract 6 from -10 to get -16.

$$-\frac{16}{15}$$

Factor

$$-\frac{16}{15} = -1\frac{1}{15} = -1.0666666666666667$$