Basic Math Examples

$\frac{12}{15} = w - \frac{3}{5}$

Step 1

Rewrite the equation as $w - \frac{3}{5} = \frac{12}{15}$ .

$w - \frac{3}{5} = \frac{12}{15}$

Step 2

Cancel the common factor of $12$ and $15$ .

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Step 2.1

Factor $3$ out of $12$ .

$w - \frac{3}{5} = \frac{3 (4)}{15}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $3$ out of $15$ .

$w - \frac{3}{5} = \frac{3 \cdot 4}{3 \cdot 5}$

Step 2.2.2

Cancel the common factor.

$w - \frac{3}{5} = \frac{3 \cdot 4}{3 \cdot 5}$

Step 2.2.3

Rewrite the expression.

$w - \frac{3}{5} = \frac{4}{5}$

Step 3

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

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Step 3.1

Add $\frac{3}{5}$ to both sides of the equation.

$w = \frac{4}{5} + \frac{3}{5}$

Step 3.2

Combine the numerators over the common denominator.

$w = \frac{4 + 3}{5}$

Step 3.3

Add $4$ and $3$ .

$w = \frac{7}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$w = \frac{7}{5}$

Decimal Form:

$w = 1.4$

Mixed Number Form:

$w = 1 \frac{2}{5}$