Solve 780.201-127.363:8

$$780.201 - 127.363 : 8$$

Evaluate

$$764.280625$$

Solution Steps

Expand \frac{127.363}{8} by multiplying both numerator and the denominator by 1000.

$$780.201-\frac{127363}{8000}$$

Convert decimal number 780.201 to fraction \frac{780201}{1000}.

$$\frac{780201}{1000}-\frac{127363}{8000}$$

Least common multiple of 1000 and 8000 is 8000. Convert \frac{780201}{1000} and \frac{127363}{8000} to fractions with denominator 8000.

$$\frac{6241608}{8000}-\frac{127363}{8000}$$

Since \frac{6241608}{8000} and \frac{127363}{8000} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6241608-127363}{8000}$$

Subtract 127363 from 6241608 to get 6114245.

$$\frac{6114245}{8000}$$

Reduce the fraction \frac{6114245}{8000} to lowest terms by extracting and canceling out 5.

$$\frac{1222849}{1600}$$

Factor

$$\frac{227 \cdot 5387}{2 ^ {6} \cdot 5 ^ {2}} = 764\frac{449}{1600} = 764.280625$$