Pre-Algebra Examples

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

Step 1

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

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Step 1.1

Subtract $\frac{3}{8}$ from both sides of the equation.

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

Step 1.2

To write $2$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

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

Step 1.3

Combine $2$ and $\frac{8}{8}$ .

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

Step 1.4

Combine the numerators over the common denominator.

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

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $2$ by $8$ .

$\frac{n}{4} = \frac{16 - 3}{8}$

Step 1.5.2

Subtract $3$ from $16$ .

$\frac{n}{4} = \frac{13}{8}$

Step 2

Multiply both sides of the equation by $4$ .

$4 \frac{n}{4} = 4 (\frac{13}{8})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $4$ .

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Step 3.1.1.1

Cancel the common factor.

$4 \frac{n}{4} = 4 (\frac{13}{8})$

Step 3.1.1.2

Rewrite the expression.

$n = 4 (\frac{13}{8})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Cancel the common factor of $4$ .

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Step 3.2.1.1

Factor $4$ out of $8$ .

$n = 4 \frac{13}{4 (2)}$

Step 3.2.1.2

Cancel the common factor.

$n = 4 \frac{13}{4 \cdot 2}$

Step 3.2.1.3

Rewrite the expression.

$n = \frac{13}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$n = \frac{13}{2}$

Decimal Form:

$n = 6.5$

Mixed Number Form:

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