Pre-Algebra Examples

$\frac{1}{6} + \frac{1}{6} + \frac{1}{3} + \frac{1}{6} + \frac{1}{6}$

Step 1

Combine the numerators over the common denominator.

$\frac{1 + 1 + 1 + 1}{6} + \frac{1}{3}$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $1$ and $1$ .

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

Step 2.2

Add $2$ and $1$ .

$\frac{3 + 1}{6} + \frac{1}{3}$

Step 2.3

Add $3$ and $1$ .

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

Step 3

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

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Step 3.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{6} + \frac{1}{3}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $6$ .

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

Step 3.2.2

Cancel the common factor.

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

Step 3.2.3

Rewrite the expression.

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the expression.

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Step 5.1

Add $2$ and $1$ .

$\frac{3}{3}$

Step 5.2

Divide $3$ by $3$ .

$1$