Basic Math Examples

$\frac{t - 3}{t} \div \frac{2}{t}$

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $t$ .

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Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

$(t - 3) \frac{1}{2}$

Step 3

Apply the distributive property.

$t \frac{1}{2} - 3 (\frac{1}{2})$

Step 4

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

$\frac{t}{2} - 3 (\frac{1}{2})$

Step 5

Combine $- 3$ and $\frac{1}{2}$ .

$\frac{t}{2} + \frac{- 3}{2}$

Step 6

Combine the numerators over the common denominator.

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