Solve (162.5*18+187.5*32+212.5*53+237.5*69+262.5*84+287.5*133+312.5*119+337.5*56+362.5*22+400*10+462.5*4)div600

$$(162.5 \times 18+187.5 \times 32+212.5 \times 53+237.5 \times 69+262.5 \times 84+287.5 \times 133+312.5 \times 119+337.5 \times 56+362.5 \times 22+400 \times 10+462.5 \times 4) \div 600$$

Evaluate

$$\frac{6671}{24}\approx 277.958333333$$

Solution Steps

Multiply 162.5 and 18 to get 2925.

$$\frac{2925+187.5\times 32+212.5\times 53+237.5\times 69+262.5\times 84+287.5\times 133+312.5\times 119+337.5\times 56+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Multiply 187.5 and 32 to get 6000.

$$\frac{2925+6000+212.5\times 53+237.5\times 69+262.5\times 84+287.5\times 133+312.5\times 119+337.5\times 56+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Add 2925 and 6000 to get 8925.

$$\frac{8925+212.5\times 53+237.5\times 69+262.5\times 84+287.5\times 133+312.5\times 119+337.5\times 56+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Multiply 212.5 and 53 to get 11262.5.

$$\frac{8925+11262.5+237.5\times 69+262.5\times 84+287.5\times 133+312.5\times 119+337.5\times 56+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Add 8925 and 11262.5 to get 20187.5.

$$\frac{20187.5+237.5\times 69+262.5\times 84+287.5\times 133+312.5\times 119+337.5\times 56+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Multiply 237.5 and 69 to get 16387.5.

$$\frac{20187.5+16387.5+262.5\times 84+287.5\times 133+312.5\times 119+337.5\times 56+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Add 20187.5 and 16387.5 to get 36575.

$$\frac{36575+262.5\times 84+287.5\times 133+312.5\times 119+337.5\times 56+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Multiply 262.5 and 84 to get 22050.

$$\frac{36575+22050+287.5\times 133+312.5\times 119+337.5\times 56+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Add 36575 and 22050 to get 58625.

$$\frac{58625+287.5\times 133+312.5\times 119+337.5\times 56+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Multiply 287.5 and 133 to get 38237.5.

$$\frac{58625+38237.5+312.5\times 119+337.5\times 56+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Add 58625 and 38237.5 to get 96862.5.

$$\frac{96862.5+312.5\times 119+337.5\times 56+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Multiply 312.5 and 119 to get 37187.5.

$$\frac{96862.5+37187.5+337.5\times 56+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Add 96862.5 and 37187.5 to get 134050.

$$\frac{134050+337.5\times 56+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Multiply 337.5 and 56 to get 18900.

$$\frac{134050+18900+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Add 134050 and 18900 to get 152950.

$$\frac{152950+362.5\times 22+400\times 10+462.5\times 4}{600}$$

Multiply 362.5 and 22 to get 7975.

$$\frac{152950+7975+400\times 10+462.5\times 4}{600}$$

Add 152950 and 7975 to get 160925.

$$\frac{160925+400\times 10+462.5\times 4}{600}$$

Multiply 400 and 10 to get 4000.

$$\frac{160925+4000+462.5\times 4}{600}$$

Add 160925 and 4000 to get 164925.

$$\frac{164925+462.5\times 4}{600}$$

Multiply 462.5 and 4 to get 1850.

$$\frac{164925+1850}{600}$$

Add 164925 and 1850 to get 166775.

$$\frac{166775}{600}$$

Reduce the fraction \frac{166775}{600} to lowest terms by extracting and canceling out 25.

$$\frac{6671}{24}$$

Factor

$$\frac{7 \cdot 953}{3 \cdot 2 ^ {3}} = 277\frac{23}{24} = 277.9583333333333$$