Basic Math Examples

$\frac{w}{9} - 6 = \frac{7}{9}$

Step 1

Move all terms not containing $w$ to the right side of the equation.

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Step 1.1

Add $6$ to both sides of the equation.

$\frac{w}{9} = \frac{7}{9} + 6$

Step 1.2

To write $6$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{w}{9} = \frac{7}{9} + 6 \cdot \frac{9}{9}$

Step 1.3

Combine $6$ and $\frac{9}{9}$ .

$\frac{w}{9} = \frac{7}{9} + \frac{6 \cdot 9}{9}$

Step 1.4

Combine the numerators over the common denominator.

$\frac{w}{9} = \frac{7 + 6 \cdot 9}{9}$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $6$ by $9$ .

$\frac{w}{9} = \frac{7 + 54}{9}$

Step 1.5.2

Add $7$ and $54$ .

$\frac{w}{9} = \frac{61}{9}$

Step 2

Since the expression on each side of the equation has the same denominator, the numerators must be equal.

$w = 61$