Solve for r r-3/4=12.75

$r - \frac{3}{4} = 12.75$

Step 1

Add $\frac{3}{4}$ to both sides of the equation.

$r = 12.75 + \frac{3}{4}$

Step 2

To write $12.75$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$r = 12.75 \cdot \frac{4}{4} + \frac{3}{4}$

Step 3

Combine $12.75$ and $\frac{4}{4}$ .

$r = \frac{12.75 \cdot 4}{4} + \frac{3}{4}$

Step 4

Combine the numerators over the common denominator.

$r = \frac{12.75 \cdot 4 + 3}{4}$

Step 5

Simplify the numerator.

Multiply $12.75$ by $4$ .

$r = \frac{51 + 3}{4}$

Add $51$ and $3$ .

$r = \frac{54}{4}$

Step 6

Cancel the common factor of $54$ and $4$ .

Factor $2$ out of $54$ .

$r = \frac{2 (27)}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$r = \frac{2 \cdot 27}{2 \cdot 2}$

Cancel the common factor.

$r = \frac{2 \cdot 27}{2 \cdot 2}$

Rewrite the expression.

$r = \frac{27}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$r = \frac{27}{2}$

Decimal Form:

$r = 13.5$

Mixed Number Form:

$r = 13 \frac{1}{2}$