Solve 2015^2+1999/2015*0.25-2011/2015

$$\frac{ { 2015 }^{ 2 } +1999 }{ 2015 } \times 0.25- \frac{ 2011 }{ 2015 }$$

Evaluate

$$503$$

Solution Steps

Calculate 2015 to the power of 2 and get 4060225.

$$\frac{4060225+1999}{2015}\times 0.25-\frac{2011}{2015}$$

Add 4060225 and 1999 to get 4062224.

$$\frac{4062224}{2015}\times 0.25-\frac{2011}{2015}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{4062224}{2015}\times \frac{1}{4}-\frac{2011}{2015}$$

Multiply \frac{4062224}{2015} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4062224\times 1}{2015\times 4}-\frac{2011}{2015}$$

Do the multiplications in the fraction \frac{4062224\times 1}{2015\times 4}.

$$\frac{4062224}{8060}-\frac{2011}{2015}$$

Reduce the fraction \frac{4062224}{8060} to lowest terms by extracting and canceling out 4.

$$\frac{1015556}{2015}-\frac{2011}{2015}$$

Since \frac{1015556}{2015} and \frac{2011}{2015} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1015556-2011}{2015}$$

Subtract 2011 from 1015556 to get 1013545.

$$\frac{1013545}{2015}$$

Divide 1013545 by 2015 to get 503.

$$503$$

Factor

$$503$$