Solve (1-0.2div3/5)div(-2)J

$$( 1 - 0.2 \div \frac { 3 } { 5 } ) \div ( - 2 ) J$$

Evaluate

$$-\frac{J}{3}$$

Solution Steps

Divide 0.2 by \frac{3}{5} by multiplying 0.2 by the reciprocal of \frac{3}{5}.

$$\frac{1-0.2\times \frac{5}{3}}{-2}J$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

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

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

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

Cancel out 5 in both numerator and denominator.

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

Convert 1 to fraction \frac{3}{3}.

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

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

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

Subtract 1 from 3 to get 2.

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

Express \frac{\frac{2}{3}}{-2} as a single fraction.

$$\frac{2}{3\left(-2\right)}J$$

Multiply 3 and -2 to get -6.

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

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

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

Expand

$$-\frac{J}{3}$$

Solution Steps

Divide 0.2 by \frac{3}{5} by multiplying 0.2 by the reciprocal of \frac{3}{5}.

$$\frac{1-0.2\times \frac{5}{3}}{-2}J$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

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

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

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

Cancel out 5 in both numerator and denominator.

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

Convert 1 to fraction \frac{3}{3}.

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

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

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

Subtract 1 from 3 to get 2.

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

Express \frac{\frac{2}{3}}{-2} as a single fraction.

$$\frac{2}{3\left(-2\right)}J$$

Multiply 3 and -2 to get -6.

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

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

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