Solve 350^3/3960000-2350^2/1875+5243*350/4125+1096

$$\frac{ { 350 }^{ 3 } }{ 3960000 } - \frac{ 2 { 350 }^{ 2 } }{ 1875 } + \frac{ 5243 \cdot 350 }{ 4125 } +1096$$

Evaluate

$$\frac{5627243}{3960}\approx 1421.020959596$$

Solution Steps

Calculate 350 to the power of 3 and get 42875000.

$$\frac{42875000}{3960000}-\frac{2\times 350^{2}}{1875}+\frac{5243\times 350}{4125}+1096$$

Reduce the fraction \frac{42875000}{3960000} to lowest terms by extracting and canceling out 5000.

$$\frac{8575}{792}-\frac{2\times 350^{2}}{1875}+\frac{5243\times 350}{4125}+1096$$

Calculate 350 to the power of 2 and get 122500.

$$\frac{8575}{792}-\frac{2\times 122500}{1875}+\frac{5243\times 350}{4125}+1096$$

Multiply 2 and 122500 to get 245000.

$$\frac{8575}{792}-\frac{245000}{1875}+\frac{5243\times 350}{4125}+1096$$

Reduce the fraction \frac{245000}{1875} to lowest terms by extracting and canceling out 625.

$$\frac{8575}{792}-\frac{392}{3}+\frac{5243\times 350}{4125}+1096$$

Least common multiple of 792 and 3 is 792. Convert \frac{8575}{792} and \frac{392}{3} to fractions with denominator 792.

$$\frac{8575}{792}-\frac{103488}{792}+\frac{5243\times 350}{4125}+1096$$

Since \frac{8575}{792} and \frac{103488}{792} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8575-103488}{792}+\frac{5243\times 350}{4125}+1096$$

Subtract 103488 from 8575 to get -94913.

$$-\frac{94913}{792}+\frac{5243\times 350}{4125}+1096$$

Multiply 5243 and 350 to get 1835050.

$$-\frac{94913}{792}+\frac{1835050}{4125}+1096$$

Reduce the fraction \frac{1835050}{4125} to lowest terms by extracting and canceling out 25.

$$-\frac{94913}{792}+\frac{73402}{165}+1096$$

Least common multiple of 792 and 165 is 3960. Convert -\frac{94913}{792} and \frac{73402}{165} to fractions with denominator 3960.

$$-\frac{474565}{3960}+\frac{1761648}{3960}+1096$$

Since -\frac{474565}{3960} and \frac{1761648}{3960} have the same denominator, add them by adding their numerators.

$$\frac{-474565+1761648}{3960}+1096$$

Add -474565 and 1761648 to get 1287083.

$$\frac{1287083}{3960}+1096$$

Convert 1096 to fraction \frac{4340160}{3960}.

$$\frac{1287083}{3960}+\frac{4340160}{3960}$$

Since \frac{1287083}{3960} and \frac{4340160}{3960} have the same denominator, add them by adding their numerators.

$$\frac{1287083+4340160}{3960}$$

Add 1287083 and 4340160 to get 5627243.

$$\frac{5627243}{3960}$$

Factor

$$\frac{59 \cdot 127 \cdot 751}{2 ^ {3} \cdot 3 ^ {2} \cdot 5 \cdot 11} = 1421\frac{83}{3960} = 1421.0209595959595$$