Basic Math Examples

$\frac{13 n}{20} - \frac{2 n}{5}$

Step 1

To write $- \frac{2 n}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{13 n}{20} - \frac{2 n}{5} \cdot \frac{4}{4}$

Step 2

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 2.1

Multiply $\frac{2 n}{5}$ by $\frac{4}{4}$ .

$\frac{13 n}{20} - \frac{2 n \cdot 4}{5 \cdot 4}$

Step 2.2

Multiply $5$ by $4$ .

$\frac{13 n}{20} - \frac{2 n \cdot 4}{20}$

Step 3

Combine the numerators over the common denominator.

$\frac{13 n - 2 n \cdot 4}{20}$

Step 4

Rewrite $\frac{13 n - 2 n \cdot 4}{20}$ in a factored form.

Tap for more steps...

Step 4.1

Factor $n$ out of $13 n - 2 n \cdot 4$ .

Tap for more steps...

Step 4.1.1

Factor $n$ out of $13 n$ .

$\frac{n \cdot 13 - 2 n \cdot 4}{20}$

Step 4.1.2

Factor $n$ out of $- 2 n \cdot 4$ .

$\frac{n \cdot 13 + n (- 2 \cdot 4)}{20}$

Step 4.1.3

Factor $n$ out of $n \cdot 13 + n (- 2 \cdot 4)$ .

$\frac{n \cdot (13 - 2 \cdot 4)}{20}$

Step 4.1.4

Multiply $n$ by $13 - 2 \cdot 4$ .

$\frac{n (13 - 2 \cdot 4)}{20}$

Step 4.2

Multiply $- 2$ by $4$ .

$\frac{n (13 - 8)}{20}$

Step 4.3

Subtract $8$ from $13$ .

$\frac{n \cdot 5}{20}$

Step 4.4

Reduce the expression $\frac{n \cdot 5}{20}$ by cancelling the common factors.

Tap for more steps...

Step 4.4.1

Factor $5$ out of $n \cdot 5$ .

$\frac{5 \cdot n}{20}$

Step 4.4.2

Factor $5$ out of $20$ .

$\frac{5 \cdot n}{5 \cdot 4}$

Step 4.4.3

Cancel the common factor.

$\frac{5 \cdot n}{5 \cdot 4}$

Step 4.4.4

Rewrite the expression.

$\frac{n}{4}$