Solve 22/9-15/9=6/9quadtext{o}42/9-frac{8}{9}frac{8}{9}

$$2 \frac { 2 } { 9 } - 1 \frac { 5 } { 9 } = \frac { 6 } { 9 } \quad \text { o } 4 \frac { 2 } { 9 } - \frac { 8 } { 9 } \frac { 8 } { 9 }$$

Solve for o

$$o=\frac{59}{114}\approx 0.51754386$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 9.

$$2\times 9+2-\left(1\times 9+5\right)=6o\times \frac{4\times 9+2}{9}-8\times \frac{8}{9}$$

Multiply 2 and 9 to get 18.

$$18+2-\left(1\times 9+5\right)=6o\times \frac{4\times 9+2}{9}-8\times \frac{8}{9}$$

Add 18 and 2 to get 20.

$$20-\left(1\times 9+5\right)=6o\times \frac{4\times 9+2}{9}-8\times \frac{8}{9}$$

Multiply 1 and 9 to get 9.

$$20-\left(9+5\right)=6o\times \frac{4\times 9+2}{9}-8\times \frac{8}{9}$$

Add 9 and 5 to get 14.

$$20-14=6o\times \frac{4\times 9+2}{9}-8\times \frac{8}{9}$$

Subtract 14 from 20 to get 6.

$$6=6o\times \frac{4\times 9+2}{9}-8\times \frac{8}{9}$$

Multiply 4 and 9 to get 36.

$$6=6o\times \frac{36+2}{9}-8\times \frac{8}{9}$$

Add 36 and 2 to get 38.

$$6=6o\times \frac{38}{9}-8\times \frac{8}{9}$$

Express 6\times \frac{38}{9} as a single fraction.

$$6=\frac{6\times 38}{9}o-8\times \frac{8}{9}$$

Multiply 6 and 38 to get 228.

$$6=\frac{228}{9}o-8\times \frac{8}{9}$$

Reduce the fraction \frac{228}{9} to lowest terms by extracting and canceling out 3.

$$6=\frac{76}{3}o-8\times \frac{8}{9}$$

Express 8\times \frac{8}{9} as a single fraction.

$$6=\frac{76}{3}o-\frac{8\times 8}{9}$$

Multiply 8 and 8 to get 64.

$$6=\frac{76}{3}o-\frac{64}{9}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{76}{3}o-\frac{64}{9}=6$$

Add \frac{64}{9} to both sides.

$$\frac{76}{3}o=6+\frac{64}{9}$$

Convert 6 to fraction \frac{54}{9}.

$$\frac{76}{3}o=\frac{54}{9}+\frac{64}{9}$$

Since \frac{54}{9} and \frac{64}{9} have the same denominator, add them by adding their numerators.

$$\frac{76}{3}o=\frac{54+64}{9}$$

Add 54 and 64 to get 118.

$$\frac{76}{3}o=\frac{118}{9}$$

Multiply both sides by \frac{3}{76}, the reciprocal of \frac{76}{3}.

$$o=\frac{118}{9}\times \frac{3}{76}$$

Multiply \frac{118}{9} times \frac{3}{76} by multiplying numerator times numerator and denominator times denominator.

$$o=\frac{118\times 3}{9\times 76}$$

Do the multiplications in the fraction \frac{118\times 3}{9\times 76}.

$$o=\frac{354}{684}$$

Reduce the fraction \frac{354}{684} to lowest terms by extracting and canceling out 6.

$$o=\frac{59}{114}$$