Solve (3*1/6)-(2/5*10/3)

$$( 3 \cdot \frac { 1 } { 6 } ) - ( \frac { 2 } { 5 } \cdot \frac { 10 } { 3 } )$$

Evaluate

$$-\frac{5}{6}\approx -0.833333333$$

Solution Steps

Multiply 3 and \frac{1}{6} to get \frac{3}{6}.

$$\frac{3}{6}-\frac{2}{5}\times \frac{10}{3}$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{1}{2}-\frac{2}{5}\times \frac{10}{3}$$

Multiply \frac{2}{5} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{2}-\frac{2\times 10}{5\times 3}$$

Do the multiplications in the fraction \frac{2\times 10}{5\times 3}.

$$\frac{1}{2}-\frac{20}{15}$$

Reduce the fraction \frac{20}{15} to lowest terms by extracting and canceling out 5.

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

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{4}{3} to fractions with denominator 6.

$$\frac{3}{6}-\frac{8}{6}$$

Since \frac{3}{6} and \frac{8}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-8}{6}$$

Subtract 8 from 3 to get -5.

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

Factor

$$-\frac{5}{6} = -0.8333333333333334$$