Solve 34-625/24.825+34-625+3.084*100

$$\frac { 34 - 625 } { 24.825 + 34 - 625 + 3.084 } \times 100$$

Evaluate

$$\frac{19700000}{187697}\approx 104.956392484$$

Solution Steps

Subtract 625 from 34 to get -591.

$$\frac{-591}{24.825+34-625+3.084}\times 100$$

Add 24.825 and 34 to get 58.825.

$$\frac{-591}{58.825-625+3.084}\times 100$$

Subtract 625 from 58.825 to get -566.175.

$$\frac{-591}{-566.175+3.084}\times 100$$

Add -566.175 and 3.084 to get -563.091.

$$\frac{-591}{-563.091}\times 100$$

Expand \frac{-591}{-563.091} by multiplying both numerator and the denominator by 1000.

$$\frac{-591000}{-563091}\times 100$$

Reduce the fraction \frac{-591000}{-563091} to lowest terms by extracting and canceling out -3.

$$\frac{197000}{187697}\times 100$$

Express \frac{197000}{187697}\times 100 as a single fraction.

$$\frac{197000\times 100}{187697}$$

Multiply 197000 and 100 to get 19700000.

$$\frac{19700000}{187697}$$

Factor

$$\frac{197 \cdot 2 ^ {5} \cdot 5 ^ {5}}{17 \cdot 61 \cdot 181} = 104\frac{179512}{187697} = 104.95639248363054$$