Solve (80*158.9873)-(1208.28div(12.0825+11.7807)

$$(80 \times 158.9873)-(1208.28 \div (12.0825+11.7807)$$

Evaluate

$$\frac{15745175989}{1242875}\approx 12668.350388414$$

Solution Steps

Multiply 80 and 158.9873 to get 12718.984.

$$12718.984-\frac{1208.28}{12.0825+11.7807}$$

Add 12.0825 and 11.7807 to get 23.8632.

$$12718.984-\frac{1208.28}{23.8632}$$

Expand \frac{1208.28}{23.8632} by multiplying both numerator and the denominator by 10000.

$$12718.984-\frac{12082800}{238632}$$

Reduce the fraction \frac{12082800}{238632} to lowest terms by extracting and canceling out 24.

$$12718.984-\frac{503450}{9943}$$

Convert decimal number 12718.984 to fraction \frac{12718984}{1000}. Reduce the fraction \frac{12718984}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{1589873}{125}-\frac{503450}{9943}$$

Least common multiple of 125 and 9943 is 1242875. Convert \frac{1589873}{125} and \frac{503450}{9943} to fractions with denominator 1242875.

$$\frac{15808107239}{1242875}-\frac{62931250}{1242875}$$

Since \frac{15808107239}{1242875} and \frac{62931250}{1242875} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15808107239-62931250}{1242875}$$

Subtract 62931250 from 15808107239 to get 15745175989.

$$\frac{15745175989}{1242875}$$

Factor

$$\frac{37 \cdot 425545297}{61 \cdot 163 \cdot 5 ^ {3}} = 12668\frac{435489}{1242875} = 12668.350388413959$$