Solve 2019/1-frac{1{2015}}=

$$\frac { 2019 } { 1 - \frac { 1 } { 2015 } } =$$

Evaluate

$$\frac{4068285}{2014}\approx 2020.002482622$$

Solution Steps

Convert 1 to fraction \frac{2015}{2015}.

$$\frac{2019}{\frac{2015}{2015}-\frac{1}{2015}}$$

Since \frac{2015}{2015} and \frac{1}{2015} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2019}{\frac{2015-1}{2015}}$$

Subtract 1 from 2015 to get 2014.

$$\frac{2019}{\frac{2014}{2015}}$$

Divide 2019 by \frac{2014}{2015} by multiplying 2019 by the reciprocal of \frac{2014}{2015}.

$$2019\times \frac{2015}{2014}$$

Express 2019\times \frac{2015}{2014} as a single fraction.

$$\frac{2019\times 2015}{2014}$$

Multiply 2019 and 2015 to get 4068285.

$$\frac{4068285}{2014}$$

Factor

$$\frac{3 \cdot 5 \cdot 13 \cdot 31 \cdot 673}{2 \cdot 19 \cdot 53} = 2020\frac{5}{2014} = 2020.0024826216484$$