Solve (17*40+3)*13-978.5div38

$$(17 \cdot 40+3) \times 13-978.5 \div 38$$

Evaluate

$$8853.25$$

Solution Steps

Multiply 17 and 40 to get 680.

$$\left(680+3\right)\times 13-\frac{978.5}{38}$$

Add 680 and 3 to get 683.

$$683\times 13-\frac{978.5}{38}$$

Multiply 683 and 13 to get 8879.

$$8879-\frac{978.5}{38}$$

Expand \frac{978.5}{38} by multiplying both numerator and the denominator by 10.

$$8879-\frac{9785}{380}$$

Reduce the fraction \frac{9785}{380} to lowest terms by extracting and canceling out 95.

$$8879-\frac{103}{4}$$

Convert 8879 to fraction \frac{35516}{4}.

$$\frac{35516}{4}-\frac{103}{4}$$

Since \frac{35516}{4} and \frac{103}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35516-103}{4}$$

Subtract 103 from 35516 to get 35413.

$$\frac{35413}{4}$$

Factor

$$\frac{7 \cdot 5059}{2 ^ {2}} = 8853\frac{1}{4} = 8853.25$$