Basic Math Examples

$\frac{2}{4} + \frac{3}{5} - \frac{1}{6}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{2}{4}$ by $\frac{15}{15}$ .

$\frac{2}{4} \cdot \frac{15}{15} + \frac{3}{5} - \frac{1}{6}$

Step 1.2

Multiply $\frac{2}{4}$ by $\frac{15}{15}$ .

$\frac{2 \cdot 15}{4 \cdot 15} + \frac{3}{5} - \frac{1}{6}$

Step 1.3

Multiply $\frac{3}{5}$ by $\frac{12}{12}$ .

$\frac{2 \cdot 15}{4 \cdot 15} + \frac{3}{5} \cdot \frac{12}{12} - \frac{1}{6}$

Step 1.4

Multiply $\frac{3}{5}$ by $\frac{12}{12}$ .

$\frac{2 \cdot 15}{4 \cdot 15} + \frac{3 \cdot 12}{5 \cdot 12} - \frac{1}{6}$

Step 1.5

Multiply $\frac{1}{6}$ by $\frac{10}{10}$ .

$\frac{2 \cdot 15}{4 \cdot 15} + \frac{3 \cdot 12}{5 \cdot 12} - (\frac{1}{6} \cdot \frac{10}{10})$

Step 1.6

Multiply $\frac{1}{6}$ by $\frac{10}{10}$ .

$\frac{2 \cdot 15}{4 \cdot 15} + \frac{3 \cdot 12}{5 \cdot 12} - \frac{10}{6 \cdot 10}$

Step 1.7

Multiply $4$ by $15$ .

$\frac{2 \cdot 15}{60} + \frac{3 \cdot 12}{5 \cdot 12} - \frac{10}{6 \cdot 10}$

Step 1.8

Multiply $5$ by $12$ .

$\frac{2 \cdot 15}{60} + \frac{3 \cdot 12}{60} - \frac{10}{6 \cdot 10}$

Step 1.9

Multiply $6$ by $10$ .

$\frac{2 \cdot 15}{60} + \frac{3 \cdot 12}{60} - \frac{10}{60}$

Step 2

Combine the numerators over the common denominator.

$\frac{2 \cdot 15 + 3 \cdot 12 - 10}{60}$

Step 3

Simplify each term.

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Step 3.1

Multiply $2$ by $15$ .

$\frac{30 + 3 \cdot 12 - 10}{60}$

Step 3.2

Multiply $3$ by $12$ .

$\frac{30 + 36 - 10}{60}$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Add $30$ and $36$ .

$\frac{66 - 10}{60}$

Step 4.2

Subtract $10$ from $66$ .

$\frac{56}{60}$

Step 4.3

Cancel the common factor of $56$ and $60$ .

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Step 4.3.1

Factor $4$ out of $56$ .

$\frac{4 (14)}{60}$

Step 4.3.2

Cancel the common factors.

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Step 4.3.2.1

Factor $4$ out of $60$ .

$\frac{4 \cdot 14}{4 \cdot 15}$

Step 4.3.2.2

Cancel the common factor.

$\frac{4 \cdot 14}{4 \cdot 15}$

Step 4.3.2.3

Rewrite the expression.

$\frac{14}{15}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{14}{15}$

Decimal Form:

$0.9\overline{3}$