Solve 3/20div3/4*5/6-3/6

$$\frac { 3 } { 20 } \div \frac { 3 } { 4 } \times \frac { 5 } { 6 } - \frac { 3 } { 6 }$$

Evaluate

$$-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Divide \frac{3}{20} by \frac{3}{4} by multiplying \frac{3}{20} by the reciprocal of \frac{3}{4}.

$$\frac{3}{20}\times \frac{4}{3}\times \frac{5}{6}-\frac{3}{6}$$

Multiply \frac{3}{20} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 4}{20\times 3}\times \frac{5}{6}-\frac{3}{6}$$

Cancel out 3 in both numerator and denominator.

$$\frac{4}{20}\times \frac{5}{6}-\frac{3}{6}$$

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

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

Multiply \frac{1}{5} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

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

Cancel out 5 in both numerator and denominator.

$$\frac{1}{6}-\frac{3}{6}$$

Since \frac{1}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-3}{6}$$

Subtract 3 from 1 to get -2.

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

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

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

Factor

$$-\frac{1}{3} = -0.3333333333333333$$