Solve 9/4u=-1/6

$$\frac { 9 } { 4 } u = \frac { - 1 } { 6 }$$

Solve for u

$$u=-\frac{2}{27}\approx -0.074074074$$

Steps for Solving Linear Equation

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

$$\frac{9}{4}u=-\frac{1}{6}$$

Multiply both sides by \frac{4}{9}, the reciprocal of \frac{9}{4}.

$$u=-\frac{1}{6}\times \frac{4}{9}$$

Multiply -\frac{1}{6} times \frac{4}{9} by multiplying numerator times numerator and denominator times denominator.

$$u=\frac{-4}{6\times 9}$$

Do the multiplications in the fraction \frac{-4}{6\times 9}.

$$u=\frac{-4}{54}$$

Reduce the fraction \frac{-4}{54} to lowest terms by extracting and canceling out 2.

$$u=-\frac{2}{27}$$