Solve 9/16+11/18q=-5/2

$$\frac { 9 } { 16 } + \frac { 11 } { 18 } q = - \frac { 5 } { 2 }$$

Solve for q

$$q = -\frac{441}{88} = -5\frac{1}{88} \approx -5.011363636$$

Steps for Solving Linear Equation

Subtract \frac{9}{16} from both sides.

$$\frac{11}{18}q=-\frac{5}{2}-\frac{9}{16}$$

Least common multiple of 2 and 16 is 16. Convert -\frac{5}{2} and \frac{9}{16} to fractions with denominator 16.

$$\frac{11}{18}q=-\frac{40}{16}-\frac{9}{16}$$

Since -\frac{40}{16} and \frac{9}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11}{18}q=\frac{-40-9}{16}$$

Subtract 9 from -40 to get -49.

$$\frac{11}{18}q=-\frac{49}{16}$$

Multiply both sides by \frac{18}{11}, the reciprocal of \frac{11}{18}.

$$q=-\frac{49}{16}\times \frac{18}{11}$$

Multiply -\frac{49}{16} times \frac{18}{11} by multiplying numerator times numerator and denominator times denominator.

$$q=\frac{-49\times 18}{16\times 11}$$

Do the multiplications in the fraction \frac{-49\times 18}{16\times 11}.

$$q=\frac{-882}{176}$$

Reduce the fraction \frac{-882}{176} to lowest terms by extracting and canceling out 2.

$$q=-\frac{441}{88}$$