Solve for n 1/4n-3/8=1/2

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

Step 1

Combine $\frac{1}{4}$ and $n$ .

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

Step 2

Move all terms not containing $n$ to the right side of the equation.

Add $\frac{3}{8}$ to both sides of the equation.

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

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{n}{4} = \frac{1}{2} \cdot \frac{4}{4} + \frac{3}{8}$

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{2}$ by $\frac{4}{4}$ .

$\frac{n}{4} = \frac{4}{2 \cdot 4} + \frac{3}{8}$

Multiply $2$ by $4$ .

$\frac{n}{4} = \frac{4}{8} + \frac{3}{8}$

Combine the numerators over the common denominator.

$\frac{n}{4} = \frac{4 + 3}{8}$

Add $4$ and $3$ .

$\frac{n}{4} = \frac{7}{8}$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{n}{4} = 4 (\frac{7}{8})$

Step 4

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $4$ .

Cancel the common factor.

$4 \frac{n}{4} = 4 (\frac{7}{8})$

Rewrite the expression.

$n = 4 (\frac{7}{8})$

Simplify the right side.

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$n = 4 \frac{7}{4 (2)}$

Cancel the common factor.

$n = 4 \frac{7}{4 \cdot 2}$

Rewrite the expression.

$n = \frac{7}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$n = \frac{7}{2}$

Decimal Form:

$n = 3.5$

Mixed Number Form:

$n = 3 \frac{1}{2}$

Solve for n 1/4n-3/8=1/2

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