Solve 10000div10.4-(10000div10.7)

$$10000 \div 10.4-(10000 \div 10.7)$$

Evaluate

$$\frac{37500}{1391}\approx 26.959022286$$

Solution Steps

Expand \frac{10000}{10.4} by multiplying both numerator and the denominator by 10.

$$\frac{100000}{104}-\frac{10000}{10.7}$$

Reduce the fraction \frac{100000}{104} to lowest terms by extracting and canceling out 8.

$$\frac{12500}{13}-\frac{10000}{10.7}$$

Expand \frac{10000}{10.7} by multiplying both numerator and the denominator by 10.

$$\frac{12500}{13}-\frac{100000}{107}$$

Least common multiple of 13 and 107 is 1391. Convert \frac{12500}{13} and \frac{100000}{107} to fractions with denominator 1391.

$$\frac{1337500}{1391}-\frac{1300000}{1391}$$

Since \frac{1337500}{1391} and \frac{1300000}{1391} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1337500-1300000}{1391}$$

Subtract 1300000 from 1337500 to get 37500.

$$\frac{37500}{1391}$$

Factor

$$\frac{3 \cdot 2 ^ {2} \cdot 5 ^ {5}}{13 \cdot 107} = 26\frac{1334}{1391} = 26.95902228612509$$