Solve 30*628*10^-5/367-254*27315-141*10^-4

$$\frac { 30 \times 628 \times 10 ^ { - 5 } } { 367 - 254 \times 27315 - 141 \times 10 ^ { - 4 } }$$

Evaluate

$$-\frac{1884}{69376430141}\approx -0.000000027$$

Solution Steps

Multiply 30 and 628 to get 18840.

$$\frac{18840\times 10^{-5}}{367-254\times 27315-141\times 10^{-4}}$$

Calculate 10 to the power of -5 and get \frac{1}{100000}.

$$\frac{18840\times \frac{1}{100000}}{367-254\times 27315-141\times 10^{-4}}$$

Multiply 18840 and \frac{1}{100000} to get \frac{471}{2500}.

$$\frac{\frac{471}{2500}}{367-254\times 27315-141\times 10^{-4}}$$

Multiply 254 and 27315 to get 6938010.

$$\frac{\frac{471}{2500}}{367-6938010-141\times 10^{-4}}$$

Subtract 6938010 from 367 to get -6937643.

$$\frac{\frac{471}{2500}}{-6937643-141\times 10^{-4}}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$\frac{\frac{471}{2500}}{-6937643-141\times \frac{1}{10000}}$$

Multiply 141 and \frac{1}{10000} to get \frac{141}{10000}.

$$\frac{\frac{471}{2500}}{-6937643-\frac{141}{10000}}$$

Subtract \frac{141}{10000} from -6937643 to get -\frac{69376430141}{10000}.

$$\frac{\frac{471}{2500}}{-\frac{69376430141}{10000}}$$

Divide \frac{471}{2500} by -\frac{69376430141}{10000} by multiplying \frac{471}{2500} by the reciprocal of -\frac{69376430141}{10000}.

$$\frac{471}{2500}\left(-\frac{10000}{69376430141}\right)$$

Multiply \frac{471}{2500} and -\frac{10000}{69376430141} to get -\frac{1884}{69376430141}.

$$-\frac{1884}{69376430141}$$

Factor

$$-\frac{1884}{69376430141} = -2.7156196941396034 \times 10^{-8}$$