Solve 13.1313/1.137*n=-22.009000000022021

$$\frac { 13.1313 } { 1.137 } \times n = - 22.009000000022021$$

Solve for n

$$n = -\frac{32206220077252301}{16900000000000000} = -1\frac{15306220077252300}{16900000000000000} \approx -1.905693496$$

Steps for Solving Linear Equation

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

$$\frac{131313}{11370}n=-22.009000000022021$$

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

$$\frac{43771}{3790}n=-22.009000000022021$$

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

$$n=-22.009000000022021\times \frac{3790}{43771}$$

Convert decimal number -22.009000000022021 to fraction -\frac{22009000000022021}{10000000000}. Reduce the fraction -\frac{22009000000022021}{10000000000} to lowest terms by extracting and canceling out 1.

$$n=-\frac{22009000000022021}{1000000000000000}\times \frac{3790}{43771}$$

Multiply -\frac{22009000000022021}{1000000000000000} times \frac{3790}{43771} by multiplying numerator times numerator and denominator times denominator.

$$n=\frac{-22009000000022021\times 3790}{1000000000000000\times 43771}$$

Do the multiplications in the fraction \frac{-22009000000022021\times 3790}{1000000000000000\times 43771}.

$$n=\frac{-83414110000083459590}{43771000000000000000}$$

Reduce the fraction \frac{-83414110000083459590}{43771000000000000000} to lowest terms by extracting and canceling out 2590.

$$n=-\frac{32206220077252301}{16900000000000000}$$