Solve 1*10194/10194+9851*-196*388+-196*9851/10194+9851*-196*1=

$$\frac { 1 \times 10194 } { 10194 + 9851 \times - 196 } \times 388 + \frac { - 196 \times 9851 } { 10194 + 9851 \times - 196 } \times 1 =$$

Evaluate

$$-\frac{1012238}{960301}\approx -1.054084084$$

Solution Steps

Multiply 1 and 10194 to get 10194.

$$\frac{10194}{10194+9851\left(-196\right)}\times 388+\frac{-196\times 9851}{10194+9851\left(-196\right)}\times 1$$

Multiply 9851 and -196 to get -1930796.

$$\frac{10194}{10194-1930796}\times 388+\frac{-196\times 9851}{10194+9851\left(-196\right)}\times 1$$

Subtract 1930796 from 10194 to get -1920602.

$$\frac{10194}{-1920602}\times 388+\frac{-196\times 9851}{10194+9851\left(-196\right)}\times 1$$

Reduce the fraction \frac{10194}{-1920602} to lowest terms by extracting and canceling out 2.

$$-\frac{5097}{960301}\times 388+\frac{-196\times 9851}{10194+9851\left(-196\right)}\times 1$$

Express -\frac{5097}{960301}\times 388 as a single fraction.

$$\frac{-5097\times 388}{960301}+\frac{-196\times 9851}{10194+9851\left(-196\right)}\times 1$$

Multiply -5097 and 388 to get -1977636.

$$\frac{-1977636}{960301}+\frac{-196\times 9851}{10194+9851\left(-196\right)}\times 1$$

Fraction \frac{-1977636}{960301} can be rewritten as -\frac{1977636}{960301} by extracting the negative sign.

$$-\frac{1977636}{960301}+\frac{-196\times 9851}{10194+9851\left(-196\right)}\times 1$$

Multiply -196 and 9851 to get -1930796.

$$-\frac{1977636}{960301}+\frac{-1930796}{10194+9851\left(-196\right)}\times 1$$

Multiply 9851 and -196 to get -1930796.

$$-\frac{1977636}{960301}+\frac{-1930796}{10194-1930796}\times 1$$

Subtract 1930796 from 10194 to get -1920602.

$$-\frac{1977636}{960301}+\frac{-1930796}{-1920602}\times 1$$

Reduce the fraction \frac{-1930796}{-1920602} to lowest terms by extracting and canceling out -2.

$$-\frac{1977636}{960301}+\frac{965398}{960301}\times 1$$

Multiply \frac{965398}{960301} and 1 to get \frac{965398}{960301}.

$$-\frac{1977636}{960301}+\frac{965398}{960301}$$

Since -\frac{1977636}{960301} and \frac{965398}{960301} have the same denominator, add them by adding their numerators.

$$\frac{-1977636+965398}{960301}$$

Add -1977636 and 965398 to get -1012238.

$$-\frac{1012238}{960301}$$

Factor

$$-\frac{1012238}{960301} = -1\frac{51937}{960301} = -1.0540840840528125$$