Solve 140div(1-70%)=

$$140 \div (1-70 \% )=$$

Evaluate

$$\frac{1400}{3}\approx 466.666666667$$

Solution Steps

Reduce the fraction \frac{70}{100} to lowest terms by extracting and canceling out 10.

$$\frac{140}{1-\frac{7}{10}}$$

Convert 1 to fraction \frac{10}{10}.

$$\frac{140}{\frac{10}{10}-\frac{7}{10}}$$

Since \frac{10}{10} and \frac{7}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{140}{\frac{10-7}{10}}$$

Subtract 7 from 10 to get 3.

$$\frac{140}{\frac{3}{10}}$$

Divide 140 by \frac{3}{10} by multiplying 140 by the reciprocal of \frac{3}{10}.

$$140\times \frac{10}{3}$$

Express 140\times \frac{10}{3} as a single fraction.

$$\frac{140\times 10}{3}$$

Multiply 140 and 10 to get 1400.

$$\frac{1400}{3}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2} \cdot 7}{3} = 466\frac{2}{3} = 466.6666666666667$$