Pre-Algebra Examples

$\frac{4}{9} + \frac{1}{12} + \frac{17}{36}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{4}{9}$ by $\frac{4}{4}$ .

$\frac{4}{9} \cdot \frac{4}{4} + \frac{1}{12} + \frac{17}{36}$

Step 1.2

Multiply $\frac{4}{9}$ by $\frac{4}{4}$ .

$\frac{4 \cdot 4}{9 \cdot 4} + \frac{1}{12} + \frac{17}{36}$

Step 1.3

Multiply $\frac{1}{12}$ by $\frac{3}{3}$ .

$\frac{4 \cdot 4}{9 \cdot 4} + \frac{1}{12} \cdot \frac{3}{3} + \frac{17}{36}$

Step 1.4

Multiply $\frac{1}{12}$ by $\frac{3}{3}$ .

$\frac{4 \cdot 4}{9 \cdot 4} + \frac{3}{12 \cdot 3} + \frac{17}{36}$

Step 1.5

Reorder the factors of $9 \cdot 4$ .

$\frac{4 \cdot 4}{4 \cdot 9} + \frac{3}{12 \cdot 3} + \frac{17}{36}$

Step 1.6

Multiply $4$ by $9$ .

$\frac{4 \cdot 4}{36} + \frac{3}{12 \cdot 3} + \frac{17}{36}$

Step 1.7

Reorder the factors of $12 \cdot 3$ .

$\frac{4 \cdot 4}{36} + \frac{3}{3 \cdot 12} + \frac{17}{36}$

Step 1.8

Multiply $3$ by $12$ .

$\frac{4 \cdot 4}{36} + \frac{3}{36} + \frac{17}{36}$

Step 2

Combine the numerators over the common denominator.

$\frac{4 \cdot 4 + 3 + 17}{36}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $4$ by $4$ .

$\frac{16 + 3 + 17}{36}$

Step 3.2

Add $16$ and $3$ .

$\frac{19 + 17}{36}$

Step 3.3

Add $19$ and $17$ .

$\frac{36}{36}$

Step 3.4

Divide $36$ by $36$ .

$1$