Solve 13.1313/1.137*n=-22.00900000002202

$$\frac { 13.1313 } { 1.137 } \times n = - 22.00900000002202$$

Solve for n

$$n = -\frac{417070550000417279}{218855000000000000} = -1\frac{1.9821555000041728 \times 10^{17}}{2.18855 \times 10^{17}} \approx -1.905693496$$

Steps for Solving Linear Equation

Expand \frac{13.1313}{1.137} by multiplying both numerator and the denominator by 10000.

$$\frac{131313}{11370}n=-22.00900000002202$$

Reduce the fraction \frac{131313}{11370} to lowest terms by extracting and canceling out 3.

$$\frac{43771}{3790}n=-22.00900000002202$$

Multiply both sides by \frac{3790}{43771}, the reciprocal of \frac{43771}{3790}.

$$n=-22.00900000002202\times \frac{3790}{43771}$$

Convert decimal number -22.00900000002202 to fraction -\frac{1100450000001101}{10000000000}. Reduce the fraction -\frac{1100450000001101}{10000000000} to lowest terms by extracting and canceling out 1.

$$n=-\frac{1100450000001101}{50000000000000}\times \frac{3790}{43771}$$

Multiply -\frac{1100450000001101}{50000000000000} times \frac{3790}{43771} by multiplying numerator times numerator and denominator times denominator.

$$n=\frac{-1100450000001101\times 3790}{50000000000000\times 43771}$$

Do the multiplications in the fraction \frac{-1100450000001101\times 3790}{50000000000000\times 43771}.

$$n=\frac{-4170705500004172790}{2188550000000000000}$$

Reduce the fraction \frac{-4170705500004172790}{2188550000000000000} to lowest terms by extracting and canceling out 10.

$$n=-\frac{417070550000417279}{218855000000000000}$$