Solve -3/11x=-5/22

$$\frac { - 3 } { 11 } x = \frac { - 5 } { 22 }$$

Solve for x

$$x=\frac{5}{6}\approx 0.833333333$$

Steps for Solving Linear Equation

Fraction \frac{-3}{11} can be rewritten as -\frac{3}{11} by extracting the negative sign.

$$-\frac{3}{11}x=\frac{-5}{22}$$

Fraction \frac{-5}{22} can be rewritten as -\frac{5}{22} by extracting the negative sign.

$$-\frac{3}{11}x=-\frac{5}{22}$$

Multiply both sides by -\frac{11}{3}, the reciprocal of -\frac{3}{11}.

$$x=-\frac{5}{22}\left(-\frac{11}{3}\right)$$

Multiply -\frac{5}{22} times -\frac{11}{3} by multiplying numerator times numerator and denominator times denominator.

$$x=\frac{-5\left(-11\right)}{22\times 3}$$

Do the multiplications in the fraction \frac{-5\left(-11\right)}{22\times 3}.

$$x=\frac{55}{66}$$

Reduce the fraction \frac{55}{66} to lowest terms by extracting and canceling out 11.

$$x=\frac{5}{6}$$