Pre-Algebra Examples

$\frac{1}{6} + \frac{2}{6} + \frac{3}{6} + \frac{4}{6} + \frac{5}{6} + \frac{6}{6}$

Step 1

Combine the numerators over the common denominator.

$\frac{1 + 2 + 3 + 4 + 5 + 6}{6}$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $1$ and $2$ .

$\frac{3 + 3 + 4 + 5 + 6}{6}$

Step 2.2

Add $3$ and $3$ .

$\frac{6 + 4 + 5 + 6}{6}$

Step 2.3

Add $6$ and $4$ .

$\frac{10 + 5 + 6}{6}$

Step 2.4

Add $10$ and $5$ .

$\frac{15 + 6}{6}$

Step 2.5

Add $15$ and $6$ .

$\frac{21}{6}$

Step 3

Cancel the common factor of $21$ and $6$ .

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Step 3.1

Factor $3$ out of $21$ .

$\frac{3 (7)}{6}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $3$ out of $6$ .

$\frac{3 \cdot 7}{3 \cdot 2}$

Step 3.2.2

Cancel the common factor.

$\frac{3 \cdot 7}{3 \cdot 2}$

Step 3.2.3

Rewrite the expression.

$\frac{7}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{2}$

Decimal Form:

$3.5$

Mixed Number Form:

$3 \frac{1}{2}$