Solve (40*28)-(1/2*20.5*28)=

$$(40 \times 28)-( \frac{ 1 }{ 2 } \times 20.5 \times 28)=$$

Evaluate

$$833$$

Solution Steps

Multiply 40 and 28 to get 1120.

$$1120-\frac{1}{2}\times 20.5\times 28$$

Convert decimal number 20.5 to fraction \frac{205}{10}. Reduce the fraction \frac{205}{10} to lowest terms by extracting and canceling out 5.

$$1120-\frac{1}{2}\times \frac{41}{2}\times 28$$

Multiply \frac{1}{2} times \frac{41}{2} by multiplying numerator times numerator and denominator times denominator.

$$1120-\frac{1\times 41}{2\times 2}\times 28$$

Do the multiplications in the fraction \frac{1\times 41}{2\times 2}.

$$1120-\frac{41}{4}\times 28$$

Express \frac{41}{4}\times 28 as a single fraction.

$$1120-\frac{41\times 28}{4}$$

Multiply 41 and 28 to get 1148.

$$1120-\frac{1148}{4}$$

Divide 1148 by 4 to get 287.

$$1120-287$$

Subtract 287 from 1120 to get 833.

$$833$$

Factor

$$17\times 7^{2}$$