Solve 2/5*1/3-5/6

$$\frac { 2 } { 5 } \times \frac { 1 } { 3 } - \frac { 5 } { 6 }$$

Evaluate

$$-\frac{7}{10}=-0.7$$

Solution Steps

Multiply \frac{2}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 1}{5\times 3}-\frac{5}{6}$$

Do the multiplications in the fraction \frac{2\times 1}{5\times 3}.

$$\frac{2}{15}-\frac{5}{6}$$

Least common multiple of 15 and 6 is 30. Convert \frac{2}{15} and \frac{5}{6} to fractions with denominator 30.

$$\frac{4}{30}-\frac{25}{30}$$

Since \frac{4}{30} and \frac{25}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-25}{30}$$

Subtract 25 from 4 to get -21.

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

Reduce the fraction \frac{-21}{30} to lowest terms by extracting and canceling out 3.

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

Factor

$$-\frac{7}{10} = -0.7$$