Basic Math Examples

$\frac{1}{4} + \frac{1}{13} - \frac{1}{52}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{1}{4}$ by $\frac{13}{13}$ .

$\frac{1}{4} \cdot \frac{13}{13} + \frac{1}{13} - \frac{1}{52}$

Step 1.2

Multiply $\frac{1}{4}$ by $\frac{13}{13}$ .

$\frac{13}{4 \cdot 13} + \frac{1}{13} - \frac{1}{52}$

Step 1.3

Multiply $\frac{1}{13}$ by $\frac{4}{4}$ .

$\frac{13}{4 \cdot 13} + \frac{1}{13} \cdot \frac{4}{4} - \frac{1}{52}$

Step 1.4

Multiply $\frac{1}{13}$ by $\frac{4}{4}$ .

$\frac{13}{4 \cdot 13} + \frac{4}{13 \cdot 4} - \frac{1}{52}$

Step 1.5

Multiply $4$ by $13$ .

$\frac{13}{52} + \frac{4}{13 \cdot 4} - \frac{1}{52}$

Step 1.6

Reorder the factors of $13 \cdot 4$ .

$\frac{13}{52} + \frac{4}{4 \cdot 13} - \frac{1}{52}$

Step 1.7

Multiply $4$ by $13$ .

$\frac{13}{52} + \frac{4}{52} - \frac{1}{52}$

Step 2

Combine the numerators over the common denominator.

$\frac{13 + 4 - 1}{52}$

Step 3

Simplify by adding and subtracting.

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Step 3.1

Add $13$ and $4$ .

$\frac{17 - 1}{52}$

Step 3.2

Subtract $1$ from $17$ .

$\frac{16}{52}$

Step 4

Cancel the common factor of $16$ and $52$ .

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Step 4.1

Factor $4$ out of $16$ .

$\frac{4 (4)}{52}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $4$ out of $52$ .

$\frac{4 \cdot 4}{4 \cdot 13}$

Step 4.2.2

Cancel the common factor.

$\frac{4 \cdot 4}{4 \cdot 13}$

Step 4.2.3

Rewrite the expression.

$\frac{4}{13}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{13}$

Decimal Form:

$0.\overline{307692}$