Solve 3600*10^3/9,81*10000=

$$\frac { 3600 \cdot 10 ^ { 3 } } { 9,81 \cdot 10000 } =$$

Evaluate

$$\frac{4000}{109}\approx 36,697247706$$

Solution Steps

Cancel out 400 in both numerator and denominator.

$$\frac{9\times 10^{3}}{9,81\times 25}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{9\times 1000}{9,81\times 25}$$

Multiply 9 and 1000 to get 9000.

$$\frac{9000}{9,81\times 25}$$

Multiply 9,81 and 25 to get 245,25.

$$\frac{9000}{245,25}$$

Expand \frac{9000}{245,25} by multiplying both numerator and the denominator by 100.

$$\frac{900000}{24525}$$

Reduce the fraction \frac{900000}{24525} to lowest terms by extracting and canceling out 225.

$$\frac{4000}{109}$$

Factor

$$\frac{2 ^ {5} \cdot 5 ^ {3}}{109} = 36\frac{76}{109} = 36.69724770642202$$