Solve 467*467*467+533*533*533/467*467-467*533+533*333

$$\frac{ 467 \times 467 \times 467+533 \times 533 \times 533 }{ 467 \times 467-467 \times 533+533 \times 333 }$$

Evaluate

$$\frac{253267000}{146667}\approx 1726.816529962$$

Solution Steps

Multiply 467 and 467 to get 218089. Multiply 533 and 533 to get 284089.

$$\frac{218089\times 467+284089\times 533}{467\times 467-467\times 533+533\times 333}$$

Multiply 218089 and 467 to get 101847563.

$$\frac{101847563+284089\times 533}{467\times 467-467\times 533+533\times 333}$$

Multiply 284089 and 533 to get 151419437.

$$\frac{101847563+151419437}{467\times 467-467\times 533+533\times 333}$$

Add 101847563 and 151419437 to get 253267000.

$$\frac{253267000}{467\times 467-467\times 533+533\times 333}$$

Multiply 467 and 467 to get 218089.

$$\frac{253267000}{218089-467\times 533+533\times 333}$$

Multiply 467 and 533 to get 248911.

$$\frac{253267000}{218089-248911+533\times 333}$$

Subtract 248911 from 218089 to get -30822.

$$\frac{253267000}{-30822+533\times 333}$$

Multiply 533 and 333 to get 177489.

$$\frac{253267000}{-30822+177489}$$

Add -30822 and 177489 to get 146667.

$$\frac{253267000}{146667}$$

Factor

$$\frac{2 ^ {3} \cdot 5 ^ {3} \cdot 7 \cdot 97 \cdot 373}{3 \cdot 48889} = 1726\frac{119758}{146667} = 1726.816529962432$$