Basic Math Examples

\frac{1}{13} + \frac{1}{4}

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

Step 1

To write

\frac{1}{13}

$\frac{1}{13}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{1}{13} \cdot \frac{4}{4} + \frac{1}{4}

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

Step 2

To write

\frac{1}{4}

$\frac{1}{4}$ as a fraction with a common denominator, multiply by

\frac{13}{13}

$\frac{13}{13}$ .

\frac{1}{13} \cdot \frac{4}{4} + \frac{1}{4} \cdot \frac{13}{13}

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

Step 3

Write each expression with a common denominator of

52

$52$ , by multiplying each by an appropriate factor of

1

$1$ .

Tap for more steps...

Step 3.1

Multiply

\frac{1}{13}

$\frac{1}{13}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{4}{13 \cdot 4} + \frac{1}{4} \cdot \frac{13}{13}

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

Step 3.2

Multiply

13

$13$ by

4

$4$ .

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

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

Step 3.3

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{13}{13}

$\frac{13}{13}$ .

\frac{4}{52} + \frac{13}{4 \cdot 13}

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

Step 3.4

Multiply

4

$4$ by

13

$13$ .

\frac{4}{52} + \frac{13}{52}

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

\frac{4}{52} + \frac{13}{52}

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

Step 4

Combine the numerators over the common denominator.

\frac{4 + 13}{52}

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

Step 5

Add

4

$4$ and

13

$13$ .

\frac{17}{52}

$\frac{17}{52}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{17}{52}

$\frac{17}{52}$

Decimal Form:

0.32692307 \dots

$0.32692307 \dots$