Algebra Examples

$\frac{2 - \frac{3}{2}}{\frac{1}{2}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$(2 - \frac{3}{2}) \cdot 2$

Step 2

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

$(2 \cdot \frac{2}{2} - \frac{3}{2}) \cdot 2$

Step 3

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

$(\frac{2 \cdot 2}{2} - \frac{3}{2}) \cdot 2$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 2 - 3}{2} \cdot 2$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $2$ by $2$ .

$\frac{4 - 3}{2} \cdot 2$

Step 5.2

Subtract $3$ from $4$ .

$\frac{1}{2} \cdot 2$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Cancel the common factor.

$\frac{1}{2} \cdot 2$

Step 6.2

Rewrite the expression.

$1$