Solve for q q+3/7=9/14

$q + \frac{3}{7} = \frac{9}{14}$

Step 1

Subtract $\frac{3}{7}$ from both sides of the equation.

$q = \frac{9}{14} - \frac{3}{7}$

Step 2

To write $- \frac{3}{7}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$q = \frac{9}{14} - \frac{3}{7} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of $14$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{3}{7}$ by $\frac{2}{2}$ .

$q = \frac{9}{14} - \frac{3 \cdot 2}{7 \cdot 2}$

Multiply $7$ by $2$ .

$q = \frac{9}{14} - \frac{3 \cdot 2}{14}$

Step 4

Combine the numerators over the common denominator.

$q = \frac{9 - 3 \cdot 2}{14}$

Step 5

Simplify the numerator.

Multiply $- 3$ by $2$ .

$q = \frac{9 - 6}{14}$

Subtract $6$ from $9$ .

$q = \frac{3}{14}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$q = \frac{3}{14}$

Decimal Form:

$q = 0.2\overline{142857}$