Basic Math Examples

$\frac{1}{2} w \cdot \frac{2}{3} = \frac{2}{3}$

Step 1

Simplify $\frac{1}{2} w \cdot \frac{2}{3}$ .

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Step 1.1

Combine $\frac{1}{2}$ and $w$ .

$\frac{w}{2} \cdot \frac{2}{3} = \frac{2}{3}$

Step 1.2

Cancel the common factor of $2$ .

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Step 1.2.1

Cancel the common factor.

$\frac{w}{2} \cdot \frac{2}{3} = \frac{2}{3}$

Step 1.2.2

Rewrite the expression.

$w \cdot \frac{1}{3} = \frac{2}{3}$

Step 1.3

Combine $w$ and $\frac{1}{3}$ .

$\frac{w}{3} = \frac{2}{3}$

Step 2

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

$w = 2$