Pre-Algebra Examples

$\frac{18}{12} + \frac{18}{12} + \frac{19}{12} + \frac{19}{12}$

Step 1

Combine the numerators over the common denominator.

$\frac{18 + 18 + 19 + 19}{12}$

Step 2

Simplify by adding numbers.

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Step 2.1

Add $18$ and $18$ .

$\frac{36 + 19 + 19}{12}$

Step 2.2

Add $36$ and $19$ .

$\frac{55 + 19}{12}$

Step 2.3

Add $55$ and $19$ .

$\frac{74}{12}$

Step 3

Cancel the common factor of $74$ and $12$ .

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Step 3.1

Factor $2$ out of $74$ .

$\frac{2 (37)}{12}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $2$ out of $12$ .

$\frac{2 \cdot 37}{2 \cdot 6}$

Step 3.2.2

Cancel the common factor.

$\frac{2 \cdot 37}{2 \cdot 6}$

Step 3.2.3

Rewrite the expression.

$\frac{37}{6}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{37}{6}$

Decimal Form:

$6.1\overline{6}$

Mixed Number Form:

$6 \frac{1}{6}$