Solve 1div(20-1/45)

$$1 \div ( 20 - \frac { 1 } { 45 } )$$

Evaluate

$$\frac{45}{899}\approx 0.050055617$$

Solution Steps

Convert 20 to fraction \frac{900}{45}.

$$\frac{1}{\frac{900}{45}-\frac{1}{45}}$$

Since \frac{900}{45} and \frac{1}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{\frac{900-1}{45}}$$

Subtract 1 from 900 to get 899.

$$\frac{1}{\frac{899}{45}}$$

Divide 1 by \frac{899}{45} by multiplying 1 by the reciprocal of \frac{899}{45}.

$$1\times \frac{45}{899}$$

Multiply 1 and \frac{45}{899} to get \frac{45}{899}.

$$\frac{45}{899}$$

Factor

$$\frac{3 ^ {2} \cdot 5}{29 \cdot 31} = 0.05005561735261402$$