Basic Math Examples

$\frac{6}{12} + \frac{6}{24} + \frac{1}{4}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{6}{12}$ by $\frac{2}{2}$ .

$\frac{6}{12} \cdot \frac{2}{2} + \frac{6}{24} + \frac{1}{4}$

Step 1.2

Multiply $\frac{6}{12}$ by $\frac{2}{2}$ .

$\frac{6 \cdot 2}{12 \cdot 2} + \frac{6}{24} + \frac{1}{4}$

Step 1.3

Multiply $\frac{1}{4}$ by $\frac{6}{6}$ .

$\frac{6 \cdot 2}{12 \cdot 2} + \frac{6}{24} + \frac{1}{4} \cdot \frac{6}{6}$

Step 1.4

Multiply $\frac{1}{4}$ by $\frac{6}{6}$ .

$\frac{6 \cdot 2}{12 \cdot 2} + \frac{6}{24} + \frac{6}{4 \cdot 6}$

Step 1.5

Reorder the factors of $12 \cdot 2$ .

$\frac{6 \cdot 2}{2 \cdot 12} + \frac{6}{24} + \frac{6}{4 \cdot 6}$

Step 1.6

Multiply $2$ by $12$ .

$\frac{6 \cdot 2}{24} + \frac{6}{24} + \frac{6}{4 \cdot 6}$

Step 1.7

Multiply $4$ by $6$ .

$\frac{6 \cdot 2}{24} + \frac{6}{24} + \frac{6}{24}$

Step 2

Combine the numerators over the common denominator.

$\frac{6 \cdot 2 + 6 + 6}{24}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $6$ by $2$ .

$\frac{12 + 6 + 6}{24}$

Step 3.2

Add $12$ and $6$ .

$\frac{18 + 6}{24}$

Step 3.3

Add $18$ and $6$ .

$\frac{24}{24}$

Step 3.4

Divide $24$ by $24$ .

$1$