Evaluate 5 15/12

$5 \frac{15}{12}$

Step 1

Convert $5 \frac{15}{12}$ to an improper fraction.

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

$5 + \frac{15}{12}$

Add $5$ and $\frac{15}{12}$ .

To write $5$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$5 \cdot \frac{12}{12} + \frac{15}{12}$

Combine $5$ and $\frac{12}{12}$ .

$\frac{5 \cdot 12}{12} + \frac{15}{12}$

Combine the numerators over the common denominator.

$\frac{5 \cdot 12 + 15}{12}$

Simplify the numerator.

Multiply $5$ by $12$ .

$\frac{60 + 15}{12}$

Add $60$ and $15$ .

$\frac{75}{12}$

Step 2

Cancel the common factor of $75$ and $12$ .

Factor $3$ out of $75$ .

$\frac{3 (25)}{12}$

Cancel the common factors.

Factor $3$ out of $12$ .

$\frac{3 \cdot 25}{3 \cdot 4}$

Cancel the common factor.

$\frac{3 \cdot 25}{3 \cdot 4}$

Rewrite the expression.

$\frac{25}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{4}$

Decimal Form:

$6.25$

Mixed Number Form:

$6 \frac{1}{4}$