Solve 2/10div1/10-4/8div1/5

$$\frac { 2 } { 10 } \div \frac { 1 } { 10 } - \frac { 4 } { 8 } \div \frac { 1 } { 5 }$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Divide \frac{2}{10} by \frac{1}{10} by multiplying \frac{2}{10} by the reciprocal of \frac{1}{10}.

$$\frac{2\times 10}{10}-\frac{\frac{4}{8}}{\frac{1}{5}}$$

Cancel out 10 and 10.

$$2-\frac{\frac{4}{8}}{\frac{1}{5}}$$

Divide \frac{4}{8} by \frac{1}{5} by multiplying \frac{4}{8} by the reciprocal of \frac{1}{5}.

$$2-\frac{4\times 5}{8}$$

Multiply 4 and 5 to get 20.

$$2-\frac{20}{8}$$

Reduce the fraction \frac{20}{8} to lowest terms by extracting and canceling out 4.

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

Convert 2 to fraction \frac{4}{2}.

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

Since \frac{4}{2} and \frac{5}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 5 from 4 to get -1.

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

Factor

$$-\frac{1}{2} = -0.5$$