Solve 1/1-frac{145{1728}}

$$\frac{ 1 }{ 1- \frac{ 145 }{ 1728 } }$$

Evaluate

$$\frac{1728}{1583}\approx 1.091598231$$

Solution Steps

Convert 1 to fraction \frac{1728}{1728}.

$$\frac{1}{\frac{1728}{1728}-\frac{145}{1728}}$$

Since \frac{1728}{1728} and \frac{145}{1728} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{\frac{1728-145}{1728}}$$

Subtract 145 from 1728 to get 1583.

$$\frac{1}{\frac{1583}{1728}}$$

Divide 1 by \frac{1583}{1728} by multiplying 1 by the reciprocal of \frac{1583}{1728}.

$$1\times \frac{1728}{1583}$$

Multiply 1 and \frac{1728}{1583} to get \frac{1728}{1583}.

$$\frac{1728}{1583}$$

Factor

$$\frac{2 ^ {6} \cdot 3 ^ {3}}{1583} = 1\frac{145}{1583} = 1.0915982312065697$$