Solve 3930^2+3855^2/12-2525259.3750

$$\frac{ { 3930 }^{ 2 } + { 3855 }^{ 2 } }{ 12 } -2525259.3750$$

Evaluate

$$234.375$$

Solution Steps

Calculate 3930 to the power of 2 and get 15444900.

$$\frac{15444900+3855^{2}}{12}-2525259.375$$

Calculate 3855 to the power of 2 and get 14861025.

$$\frac{15444900+14861025}{12}-2525259.375$$

Add 15444900 and 14861025 to get 30305925.

$$\frac{30305925}{12}-2525259.375$$

Reduce the fraction \frac{30305925}{12} to lowest terms by extracting and canceling out 3.

$$\frac{10101975}{4}-2525259.375$$

Convert decimal number 2525259.375 to fraction \frac{2525259375}{1000}. Reduce the fraction \frac{2525259375}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{10101975}{4}-\frac{20202075}{8}$$

Least common multiple of 4 and 8 is 8. Convert \frac{10101975}{4} and \frac{20202075}{8} to fractions with denominator 8.

$$\frac{20203950}{8}-\frac{20202075}{8}$$

Since \frac{20203950}{8} and \frac{20202075}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20203950-20202075}{8}$$

Subtract 20202075 from 20203950 to get 1875.

$$\frac{1875}{8}$$

Factor

$$\frac{3 \cdot 5 ^ {4}}{2 ^ {3}} = 234\frac{3}{8} = 234.375$$