Basic Math Examples

$\frac{30}{30} + \frac{30}{30 + 30}$

Step 1

Simplify each term.

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Step 1.1

Divide $30$ by $30$ .

$1 + \frac{30}{30 + 30}$

Step 1.2

Cancel the common factor of $30$ and $30 + 30$ .

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Step 1.2.1

Factor $30$ out of $30$ .

$1 + \frac{30 \cdot 1}{30 + 30}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $30$ out of $30$ .

$1 + \frac{30 \cdot 1}{30 (1) + 30}$

Step 1.2.2.2

Factor $30$ out of $30$ .

$1 + \frac{30 \cdot 1}{30 \cdot 1 + 30 \cdot 1}$

Step 1.2.2.3

Factor $30$ out of $30 \cdot 1 + 30 \cdot 1$ .

$1 + \frac{30 \cdot 1}{30 \cdot (1 + 1)}$

Step 1.2.2.4

Cancel the common factor.

$1 + \frac{30 \cdot 1}{30 \cdot (1 + 1)}$

Step 1.2.2.5

Rewrite the expression.

$1 + \frac{1}{1 + 1}$

Step 1.3

Add $1$ and $1$ .

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

Step 2

Simplify the expression.

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Step 2.1

Write $1$ as a fraction with a common denominator.

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

Step 2.2

Combine the numerators over the common denominator.

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

Step 2.3

Add $2$ and $1$ .

$\frac{3}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$