Solve 112*112*112-73*73*73/112*112+112*73+73*73=?

$$\frac { 112 \times 112 \times 112 - 73 \times 73 \times 73 } { 112 \times 112 + 112 \times 73 + 73 \times 73 } = ?$$

Evaluate

$$39$$

Solution Steps

Multiply 112 and 112 to get 12544.

$$\frac{12544\times 112-73\times 73\times 73}{112\times 112+112\times 73+73\times 73}$$

Multiply 12544 and 112 to get 1404928.

$$\frac{1404928-73\times 73\times 73}{112\times 112+112\times 73+73\times 73}$$

Multiply 73 and 73 to get 5329.

$$\frac{1404928-5329\times 73}{112\times 112+112\times 73+73\times 73}$$

Multiply 5329 and 73 to get 389017.

$$\frac{1404928-389017}{112\times 112+112\times 73+73\times 73}$$

Subtract 389017 from 1404928 to get 1015911.

$$\frac{1015911}{112\times 112+112\times 73+73\times 73}$$

Multiply 112 and 112 to get 12544. Multiply 112 and 73 to get 8176. Multiply 73 and 73 to get 5329.

$$\frac{1015911}{12544+8176+5329}$$

Add 12544 and 8176 to get 20720.

$$\frac{1015911}{20720+5329}$$

Add 20720 and 5329 to get 26049.

$$\frac{1015911}{26049}$$

Divide 1015911 by 26049 to get 39.

$$39$$

Factor

$$3\times 13$$