Solve 161/4=21-3/2n/1-frac{3{2}}

$$16 \frac{ 1 }{ 4 } = 2 \frac{ 1- \frac{ 3 }{ 2 } n }{ 1- \frac{ 3 }{ 2 } }$$

Solve for n

$$n = \frac{27}{8} = 3\frac{3}{8} = 3.375$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 4.

$$16\times 4+1=8\times \frac{1-\frac{3}{2}n}{1-\frac{3}{2}}$$

Multiply 16 and 4 to get 64.

$$64+1=8\times \frac{1-\frac{3}{2}n}{1-\frac{3}{2}}$$

Add 64 and 1 to get 65.

$$65=8\times \frac{1-\frac{3}{2}n}{1-\frac{3}{2}}$$

Convert 1 to fraction \frac{2}{2}.

$$65=8\times \frac{1-\frac{3}{2}n}{\frac{2}{2}-\frac{3}{2}}$$

Since \frac{2}{2} and \frac{3}{2} have the same denominator, subtract them by subtracting their numerators.

$$65=8\times \frac{1-\frac{3}{2}n}{\frac{2-3}{2}}$$

Subtract 3 from 2 to get -1.

$$65=8\times \frac{1-\frac{3}{2}n}{-\frac{1}{2}}$$

Divide each term of 1-\frac{3}{2}n by -\frac{1}{2} to get -2+3n.

$$65=8\left(-2+3n\right)$$

Use the distributive property to multiply 8 by -2+3n.

$$65=-16+24n$$

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

$$-16+24n=65$$

Add 16 to both sides.

$$24n=65+16$$

Add 65 and 16 to get 81.

$$24n=81$$

Divide both sides by 24.

$$n=\frac{81}{24}$$

Reduce the fraction \frac{81}{24} to lowest terms by extracting and canceling out 3.

$$n=\frac{27}{8}$$