Solve 21/10n=11/6

$$2 \frac{ 1 }{ 10 } n = 1 \frac{ 1 }{ 6 }$$

Solve for n

$$n=\frac{5}{9}\approx 0.555555556$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 30, the least common multiple of 10,6.

$$3\left(2\times 10+1\right)n=5\left(1\times 6+1\right)$$

Multiply 2 and 10 to get 20.

$$3\left(20+1\right)n=5\left(1\times 6+1\right)$$

Add 20 and 1 to get 21.

$$3\times 21n=5\left(1\times 6+1\right)$$

Multiply 3 and 21 to get 63.

$$63n=5\left(1\times 6+1\right)$$

Multiply 1 and 6 to get 6.

$$63n=5\left(6+1\right)$$

Add 6 and 1 to get 7.

$$63n=5\times 7$$

Multiply 5 and 7 to get 35.

$$63n=35$$

Divide both sides by 63.

$$n=\frac{35}{63}$$

Reduce the fraction \frac{35}{63} to lowest terms by extracting and canceling out 7.

$$n=\frac{5}{9}$$