Solve 1div(66.67%-6.17%)

$$1 \div (66.67 \% -6.17 \% )$$

Evaluate

$$\frac{200}{121}\approx 1.652892562$$

Solution Steps

Expand \frac{66.67}{100} by multiplying both numerator and the denominator by 100.

$$\frac{1}{\frac{6667}{10000}-\frac{6.17}{100}}$$

Expand \frac{6.17}{100} by multiplying both numerator and the denominator by 100.

$$\frac{1}{\frac{6667}{10000}-\frac{617}{10000}}$$

Since \frac{6667}{10000} and \frac{617}{10000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{\frac{6667-617}{10000}}$$

Subtract 617 from 6667 to get 6050.

$$\frac{1}{\frac{6050}{10000}}$$

Reduce the fraction \frac{6050}{10000} to lowest terms by extracting and canceling out 50.

$$\frac{1}{\frac{121}{200}}$$

Divide 1 by \frac{121}{200} by multiplying 1 by the reciprocal of \frac{121}{200}.

$$1\times \frac{200}{121}$$

Multiply 1 and \frac{200}{121} to get \frac{200}{121}.

$$\frac{200}{121}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {2}}{11 ^ {2}} = 1\frac{79}{121} = 1.6528925619834711$$