Pre-Algebra Examples

$\frac{5}{12} \div \frac{10}{36} + \frac{1}{2}$

Step 1

Simplify each term.

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Step 1.1

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{12} \cdot \frac{36}{10} + \frac{1}{2}$

Step 1.2

Cancel the common factor of $5$ .

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Step 1.2.1

Factor $5$ out of $10$ .

$\frac{5}{12} \cdot \frac{36}{5 (2)} + \frac{1}{2}$

Step 1.2.2

Cancel the common factor.

$\frac{5}{12} \cdot \frac{36}{5 \cdot 2} + \frac{1}{2}$

Step 1.2.3

Rewrite the expression.

$\frac{1}{12} \cdot \frac{36}{2} + \frac{1}{2}$

Step 1.3

Cancel the common factor of $12$ .

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Step 1.3.1

Factor $12$ out of $36$ .

$\frac{1}{12} \cdot \frac{12 (3)}{2} + \frac{1}{2}$

Step 1.3.2

Cancel the common factor.

$\frac{1}{12} \cdot \frac{12 \cdot 3}{2} + \frac{1}{2}$

Step 1.3.3

Rewrite the expression.

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

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

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

Step 2.2

Simplify the expression.

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Step 2.2.1

Add $3$ and $1$ .

$\frac{4}{2}$

Step 2.2.2

Divide $4$ by $2$ .

$2$