Solve 9r-1/2=5/6

$$9 r - \frac { 1 } { 2 } = \frac { 5 } { 6 }$$

Solve for r

$$r=\frac{4}{27}\approx 0.148148148$$

Steps for Solving Linear Equation

Add \frac{1}{2} to both sides.

$$9r=\frac{5}{6}+\frac{1}{2}$$

Least common multiple of 6 and 2 is 6. Convert \frac{5}{6} and \frac{1}{2} to fractions with denominator 6.

$$9r=\frac{5}{6}+\frac{3}{6}$$

Since \frac{5}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

$$9r=\frac{5+3}{6}$$

Add 5 and 3 to get 8.

$$9r=\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$9r=\frac{4}{3}$$

Divide both sides by 9.

$$r=\frac{\frac{4}{3}}{9}$$

Express \frac{\frac{4}{3}}{9} as a single fraction.

$$r=\frac{4}{3\times 9}$$

Multiply 3 and 9 to get 27.

$$r=\frac{4}{27}$$