Calculus Examples

$\sum_{m = 0}^{3} \frac{m}{4}$

Step 1

Expand the series for each value of $m$ .

$\frac{0}{4} + \frac{1}{4} + \frac{2}{4} + \frac{3}{4}$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Combine the numerators over the common denominator.

$\frac{1 + 2 + 3}{4}$

Step 2.2

Add $1$ and $2$ .

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

Step 2.3

Add $3$ and $3$ .

$\frac{6}{4}$

Step 2.4

Cancel the common factor of $6$ and $4$ .

Tap for more steps...

Step 2.4.1

Factor $2$ out of $6$ .

$\frac{2 (3)}{4}$

Step 2.4.2

Cancel the common factors.

Tap for more steps...

Step 2.4.2.1

Factor $2$ out of $4$ .

$\frac{2 \cdot 3}{2 \cdot 2}$

Step 2.4.2.2

Cancel the common factor.

$\frac{2 \cdot 3}{2 \cdot 2}$

Step 2.4.2.3

Rewrite the expression.

$\frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$