Solve 8/9*(15/26:20/30)=(So

$$\frac { 8 } { 9 } \cdot ( \frac { 15 } { 26 } : \frac { 20 } { 30 } ) = ( So$$

Solve for S

$$S=\frac{10}{13o}$$

$$o\neq 0$$

Steps for Solving Linear Equation

Divide \frac{15}{26} by \frac{20}{30} by multiplying \frac{15}{26} by the reciprocal of \frac{20}{30}.

$$\frac{8}{9}\times \frac{15\times 30}{26\times 20}=So$$

Cancel out 2\times 5 in both numerator and denominator.

$$\frac{8}{9}\times \frac{3\times 15}{4\times 13}=So$$

Multiply 3 and 15 to get 45.

$$\frac{8}{9}\times \frac{45}{4\times 13}=So$$

Multiply 4 and 13 to get 52.

$$\frac{8}{9}\times \frac{45}{52}=So$$

Multiply \frac{8}{9} and \frac{45}{52} to get \frac{10}{13}.

$$\frac{10}{13}=So$$

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

$$So=\frac{10}{13}$$

The equation is in standard form.

$$oS=\frac{10}{13}$$

Divide both sides by o.

$$\frac{oS}{o}=\frac{\frac{10}{13}}{o}$$

Dividing by o undoes the multiplication by o.

$$S=\frac{\frac{10}{13}}{o}$$

Divide \frac{10}{13} by o.

$$S=\frac{10}{13o}$$

Solve for o

$$o=\frac{10}{13S}$$

$$S\neq 0$$

Steps for Solving Linear Equation

Divide \frac{15}{26} by \frac{20}{30} by multiplying \frac{15}{26} by the reciprocal of \frac{20}{30}.

$$\frac{8}{9}\times \frac{15\times 30}{26\times 20}=So$$

Cancel out 2\times 5 in both numerator and denominator.

$$\frac{8}{9}\times \frac{3\times 15}{4\times 13}=So$$

Multiply 3 and 15 to get 45.

$$\frac{8}{9}\times \frac{45}{4\times 13}=So$$

Multiply 4 and 13 to get 52.

$$\frac{8}{9}\times \frac{45}{52}=So$$

Multiply \frac{8}{9} and \frac{45}{52} to get \frac{10}{13}.

$$\frac{10}{13}=So$$

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

$$So=\frac{10}{13}$$

Divide both sides by S.

$$\frac{So}{S}=\frac{\frac{10}{13}}{S}$$

Dividing by S undoes the multiplication by S.

$$o=\frac{\frac{10}{13}}{S}$$

Divide \frac{10}{13} by S.

$$o=\frac{10}{13S}$$