Solve for q q-6/5=1/12

$q - \frac{6}{5} = \frac{1}{12}$

Step 1

Add $\frac{6}{5}$ to both sides of the equation.

$q = \frac{1}{12} + \frac{6}{5}$

Step 2

To write $\frac{1}{12}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$q = \frac{1}{12} \cdot \frac{5}{5} + \frac{6}{5}$

Step 3

To write $\frac{6}{5}$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$q = \frac{1}{12} \cdot \frac{5}{5} + \frac{6}{5} \cdot \frac{12}{12}$

Step 4

Write each expression with a common denominator of $60$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{12}$ by $\frac{5}{5}$ .

$q = \frac{5}{12 \cdot 5} + \frac{6}{5} \cdot \frac{12}{12}$

Multiply $12$ by $5$ .

$q = \frac{5}{60} + \frac{6}{5} \cdot \frac{12}{12}$

Multiply $\frac{6}{5}$ by $\frac{12}{12}$ .

$q = \frac{5}{60} + \frac{6 \cdot 12}{5 \cdot 12}$

Multiply $5$ by $12$ .

$q = \frac{5}{60} + \frac{6 \cdot 12}{60}$

Step 5

Combine the numerators over the common denominator.

$q = \frac{5 + 6 \cdot 12}{60}$

Step 6

Simplify the numerator.

Multiply $6$ by $12$ .

$q = \frac{5 + 72}{60}$

Add $5$ and $72$ .

$q = \frac{77}{60}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$q = \frac{77}{60}$

Decimal Form:

$q = 1.28\overline{3}$

Mixed Number Form:

$q = 1 \frac{17}{60}$