Solve (20*30div2+20(20*30+7*40+13*20div2)*13)div13

$$(20 \times 30 \div 2+20(20 \times 30+7 \times 40+13 \times 20 \div 2) \times 13) \div 13$$

Evaluate

$$\frac{262900}{13}\approx 20223.076923077$$

Solution Steps

Multiply 20 and 30 to get 600.

$$\frac{\frac{600}{2}+20\left(20\times 30+7\times 40+\frac{13\times 20}{2}\right)\times 13}{13}$$

Divide 600 by 2 to get 300.

$$\frac{300+20\left(20\times 30+7\times 40+\frac{13\times 20}{2}\right)\times 13}{13}$$

Multiply 20 and 30 to get 600. Multiply 7 and 40 to get 280.

$$\frac{300+20\left(600+280+\frac{13\times 20}{2}\right)\times 13}{13}$$

Add 600 and 280 to get 880.

$$\frac{300+20\left(880+\frac{13\times 20}{2}\right)\times 13}{13}$$

Multiply 13 and 20 to get 260.

$$\frac{300+20\left(880+\frac{260}{2}\right)\times 13}{13}$$

Divide 260 by 2 to get 130.

$$\frac{300+20\left(880+130\right)\times 13}{13}$$

Add 880 and 130 to get 1010.

$$\frac{300+20\times 1010\times 13}{13}$$

Multiply 20 and 1010 to get 20200.

$$\frac{300+20200\times 13}{13}$$

Multiply 20200 and 13 to get 262600.

$$\frac{300+262600}{13}$$

Add 300 and 262600 to get 262900.

$$\frac{262900}{13}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 11 \cdot 239}{13} = 20223\frac{1}{13} = 20223.076923076922$$