Basic Math Examples

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

Step 1

Combine the numerators over the common denominator.

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

Step 2

Add $- n$ and $2 n$ .

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

Step 3

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

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

Step 4

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

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Step 4.1

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

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

Step 4.2

Multiply $4$ by $2$ .

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

Step 5

Combine the numerators over the common denominator.

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

Step 6

Simplify the numerator.

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Step 6.1

Move $2$ to the left of $n$ .

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

Step 6.2

Add $3 n$ and $2 n$ .

$\frac{5 n}{8}$