Basic Math Examples

3 \frac{7}{12}

$3 \frac{7}{12}$

Step 1

A mixed number is an addition of its whole and fractional parts.

3 + \frac{7}{12}

$3 + \frac{7}{12}$

Step 2

Add

3

$3$ and

\frac{7}{12}

$\frac{7}{12}$ .

Tap for more steps...

Step 2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{12}{12}

$\frac{12}{12}$ .

3 \cdot \frac{12}{12} + \frac{7}{12}

$3 \cdot \frac{12}{12} + \frac{7}{12}$

Step 2.2

Combine

3

$3$ and

\frac{12}{12}

$\frac{12}{12}$ .

\frac{3 \cdot 12}{12} + \frac{7}{12}

$\frac{3 \cdot 12}{12} + \frac{7}{12}$

Step 2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 12 + 7}{12}

$\frac{3 \cdot 12 + 7}{12}$

Step 2.4

Simplify the numerator.

Tap for more steps...

Step 2.4.1

Multiply

3

$3$ by

12

$12$ .

\frac{36 + 7}{12}

$\frac{36 + 7}{12}$

Step 2.4.2

Add

36

$36$ and

7

$7$ .

\frac{43}{12}

$\frac{43}{12}$

\frac{43}{12}

$\frac{43}{12}$

\frac{43}{12}

$\frac{43}{12}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{43}{12}

$\frac{43}{12}$

Decimal Form:

3.58\overline{3}

$3.58\overline{3}$

Mixed Number Form:

3 \frac{7}{12}

$3 \frac{7}{12}$