Solve [{(80001)^2div(1001)^2}*91]div2=?

$$[ \{ ( 80001 ) ^ { 2 } \div ( 1001 ) ^ { 2 } \} \times 91 ] \div 2 = ?$$

Evaluate

$$\frac{6400160001}{22022}\approx 290625.737943874$$

Solution Steps

Calculate 80001 to the power of 2 and get 6400160001.

$$\frac{\frac{6400160001}{1001^{2}}\times 91}{2}$$

Calculate 1001 to the power of 2 and get 1002001.

$$\frac{\frac{6400160001}{1002001}\times 91}{2}$$

Express \frac{6400160001}{1002001}\times 91 as a single fraction.

$$\frac{\frac{6400160001\times 91}{1002001}}{2}$$

Multiply 6400160001 and 91 to get 582414560091.

$$\frac{\frac{582414560091}{1002001}}{2}$$

Reduce the fraction \frac{582414560091}{1002001} to lowest terms by extracting and canceling out 91.

$$\frac{\frac{6400160001}{11011}}{2}$$

Express \frac{\frac{6400160001}{11011}}{2} as a single fraction.

$$\frac{6400160001}{11011\times 2}$$

Multiply 11011 and 2 to get 22022.

$$\frac{6400160001}{22022}$$

Factor

$$\frac{3 ^ {6} \cdot 2963 ^ {2}}{2 \cdot 7 \cdot 11 ^ {2} \cdot 13} = 290625\frac{16251}{22022} = 290625.7379438743$$