Solve 51/9divx=26/63

$$5 \frac{ 1 }{ 9 } \div x= \frac{ 26 }{ 63 }$$

Solve for x

$$x = \frac{161}{13} = 12\frac{5}{13} \approx 12.384615385$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 63x, the least common multiple of x,63.

$$63\times \frac{5\times 9+1}{9}=26x$$

Multiply 5 and 9 to get 45.

$$63\times \frac{45+1}{9}=26x$$

Add 45 and 1 to get 46.

$$63\times \frac{46}{9}=26x$$

Express 63\times \frac{46}{9} as a single fraction.

$$\frac{63\times 46}{9}=26x$$

Multiply 63 and 46 to get 2898.

$$\frac{2898}{9}=26x$$

Divide 2898 by 9 to get 322.

$$322=26x$$

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

$$26x=322$$

Divide both sides by 26.

$$x=\frac{322}{26}$$

Reduce the fraction \frac{322}{26} to lowest terms by extracting and canceling out 2.

$$x=\frac{161}{13}$$