Solve -0,45*2500*10^-1/12*10^2*0,125

$$\frac { - 0,45 \times 2500 \times 10 ^ { - 1 } } { 12 \times 10 ^ { 2 } \times 0,125 }$$

Evaluate

$$-0,75$$

Solution Steps

Cancel out 4 in both numerator and denominator.

$$\frac{-0,45\times 625\times \frac{1}{10}}{0,125\times 3\times 10^{2}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{-0,45\times 625}{0,125\times 3\times 10^{3}}$$

Multiply -0,45 and 625 to get -281,25.

$$\frac{-281,25}{0,125\times 3\times 10^{3}}$$

Multiply 0,125 and 3 to get 0,375.

$$\frac{-281,25}{0,375\times 10^{3}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{-281,25}{0,375\times 1000}$$

Multiply 0,375 and 1000 to get 375.

$$\frac{-281,25}{375}$$

Expand \frac{-281,25}{375} by multiplying both numerator and the denominator by 100.

$$\frac{-28125}{37500}$$

Reduce the fraction \frac{-28125}{37500} to lowest terms by extracting and canceling out 9375.

$$-\frac{3}{4}$$

Factor

$$-0,75$$