Evaluate 7 3/4

$7 \frac{3}{4}$

Step 1

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

$7 + \frac{3}{4}$

Step 2

Add $7$ and $\frac{3}{4}$ .

To write $7$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$7 \cdot \frac{4}{4} + \frac{3}{4}$

Combine $7$ and $\frac{4}{4}$ .

$\frac{7 \cdot 4}{4} + \frac{3}{4}$

Combine the numerators over the common denominator.

$\frac{7 \cdot 4 + 3}{4}$

Simplify the numerator.

Multiply $7$ by $4$ .

$\frac{28 + 3}{4}$

Add $28$ and $3$ .

$\frac{31}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{31}{4}$

Decimal Form:

$7.75$

Mixed Number Form:

$7 \frac{3}{4}$