Basic Math Examples

$\frac{3}{4} + \frac{1}{2} + \frac{1}{3}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{3}{4}$ by $\frac{3}{3}$ .

$\frac{3}{4} \cdot \frac{3}{3} + \frac{1}{2} + \frac{1}{3}$

Step 1.2

Multiply $\frac{3}{4}$ by $\frac{3}{3}$ .

$\frac{3 \cdot 3}{4 \cdot 3} + \frac{1}{2} + \frac{1}{3}$

Step 1.3

Multiply $\frac{1}{2}$ by $\frac{6}{6}$ .

$\frac{3 \cdot 3}{4 \cdot 3} + \frac{1}{2} \cdot \frac{6}{6} + \frac{1}{3}$

Step 1.4

Multiply $\frac{1}{2}$ by $\frac{6}{6}$ .

$\frac{3 \cdot 3}{4 \cdot 3} + \frac{6}{2 \cdot 6} + \frac{1}{3}$

Step 1.5

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$\frac{3 \cdot 3}{4 \cdot 3} + \frac{6}{2 \cdot 6} + \frac{1}{3} \cdot \frac{4}{4}$

Step 1.6

Multiply $\frac{1}{3}$ by $\frac{4}{4}$ .

$\frac{3 \cdot 3}{4 \cdot 3} + \frac{6}{2 \cdot 6} + \frac{4}{3 \cdot 4}$

Step 1.7

Reorder the factors of $4 \cdot 3$ .

$\frac{3 \cdot 3}{3 \cdot 4} + \frac{6}{2 \cdot 6} + \frac{4}{3 \cdot 4}$

Step 1.8

Multiply $3$ by $4$ .

$\frac{3 \cdot 3}{12} + \frac{6}{2 \cdot 6} + \frac{4}{3 \cdot 4}$

Step 1.9

Multiply $2$ by $6$ .

$\frac{3 \cdot 3}{12} + \frac{6}{12} + \frac{4}{3 \cdot 4}$

Step 1.10

Multiply $3$ by $4$ .

$\frac{3 \cdot 3}{12} + \frac{6}{12} + \frac{4}{12}$

Step 2

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 + 6 + 4}{12}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $3$ by $3$ .

$\frac{9 + 6 + 4}{12}$

Step 3.2

Add $9$ and $6$ .

$\frac{15 + 4}{12}$

Step 3.3

Add $15$ and $4$ .

$\frac{19}{12}$