Solve -12*1/10^6*100^2+24/9375*100-36/250

$$- 12 \cdot \frac { 1 } { 10 ^ { 6 } } \cdot 100 ^ { 2 } + \frac { 24 } { 9375 } \cdot 100 - \frac { 36 } { 250 }$$

Evaluate

$$-\frac{1}{125}=-0.008$$

Solution Steps

Calculate 10 to the power of 6 and get 1000000.

$$-12\times \frac{1}{1000000}\times 100^{2}+\frac{24}{9375}\times 100-\frac{36}{250}$$

Multiply -12 and \frac{1}{1000000} to get \frac{-12}{1000000}.

$$\frac{-12}{1000000}\times 100^{2}+\frac{24}{9375}\times 100-\frac{36}{250}$$

Reduce the fraction \frac{-12}{1000000} to lowest terms by extracting and canceling out 4.

$$-\frac{3}{250000}\times 100^{2}+\frac{24}{9375}\times 100-\frac{36}{250}$$

Calculate 100 to the power of 2 and get 10000.

$$-\frac{3}{250000}\times 10000+\frac{24}{9375}\times 100-\frac{36}{250}$$

Express -\frac{3}{250000}\times 10000 as a single fraction.

$$\frac{-3\times 10000}{250000}+\frac{24}{9375}\times 100-\frac{36}{250}$$

Multiply -3 and 10000 to get -30000.

$$\frac{-30000}{250000}+\frac{24}{9375}\times 100-\frac{36}{250}$$

Reduce the fraction \frac{-30000}{250000} to lowest terms by extracting and canceling out 10000.

$$-\frac{3}{25}+\frac{24}{9375}\times 100-\frac{36}{250}$$

Reduce the fraction \frac{24}{9375} to lowest terms by extracting and canceling out 3.

$$-\frac{3}{25}+\frac{8}{3125}\times 100-\frac{36}{250}$$

Express \frac{8}{3125}\times 100 as a single fraction.

$$-\frac{3}{25}+\frac{8\times 100}{3125}-\frac{36}{250}$$

Multiply 8 and 100 to get 800.

$$-\frac{3}{25}+\frac{800}{3125}-\frac{36}{250}$$

Reduce the fraction \frac{800}{3125} to lowest terms by extracting and canceling out 25.

$$-\frac{3}{25}+\frac{32}{125}-\frac{36}{250}$$

Least common multiple of 25 and 125 is 125. Convert -\frac{3}{25} and \frac{32}{125} to fractions with denominator 125.

$$-\frac{15}{125}+\frac{32}{125}-\frac{36}{250}$$

Since -\frac{15}{125} and \frac{32}{125} have the same denominator, add them by adding their numerators.

$$\frac{-15+32}{125}-\frac{36}{250}$$

Add -15 and 32 to get 17.

$$\frac{17}{125}-\frac{36}{250}$$

Reduce the fraction \frac{36}{250} to lowest terms by extracting and canceling out 2.

$$\frac{17}{125}-\frac{18}{125}$$

Since \frac{17}{125} and \frac{18}{125} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-18}{125}$$

Subtract 18 from 17 to get -1.

$$-\frac{1}{125}$$

Factor

$$-\frac{1}{125} = -0.008$$