Solve 6div3/10-3/10div6

$$6 \div \frac { 3 } { 10 } - \frac { 3 } { 10 } \div 6$$

Evaluate

$$\frac{399}{20}=19.95$$

Solution Steps

Divide 6 by \frac{3}{10} by multiplying 6 by the reciprocal of \frac{3}{10}.

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

Express 6\times \frac{10}{3} as a single fraction.

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

Multiply 6 and 10 to get 60.

$$\frac{60}{3}-\frac{\frac{3}{10}}{6}$$

Divide 60 by 3 to get 20.

$$20-\frac{\frac{3}{10}}{6}$$

Express \frac{\frac{3}{10}}{6} as a single fraction.

$$20-\frac{3}{10\times 6}$$

Multiply 10 and 6 to get 60.

$$20-\frac{3}{60}$$

Reduce the fraction \frac{3}{60} to lowest terms by extracting and canceling out 3.

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

Convert 20 to fraction \frac{400}{20}.

$$\frac{400}{20}-\frac{1}{20}$$

Since \frac{400}{20} and \frac{1}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{400-1}{20}$$

Subtract 1 from 400 to get 399.

$$\frac{399}{20}$$

Factor

$$\frac{3 \cdot 7 \cdot 19}{2 ^ {2} \cdot 5} = 19\frac{19}{20} = 19.95$$