Basic Math Examples

$\frac{t}{u^{2}} \div \frac{t^{2}}{u}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{t}{u^{2}} \cdot \frac{u}{t^{2}}$

Step 2

Combine.

$\frac{t u}{u^{2} t^{2}}$

Step 3

Cancel the common factor of $t$ and $t^{2}$ .

Tap for more steps...

Step 3.1

Factor $t$ out of $t u$ .

$\frac{t (u)}{u^{2} t^{2}}$

Step 3.2

Cancel the common factors.

Tap for more steps...

Step 3.2.1

Factor $t$ out of $u^{2} t^{2}$ .

$\frac{t (u)}{t (u^{2} t)}$

Step 3.2.2

Cancel the common factor.

$\frac{t u}{t (u^{2} t)}$

Step 3.2.3

Rewrite the expression.

$\frac{u}{u^{2} t}$

$\frac{u}{u^{2} t}$

$\frac{u}{u^{2} t}$

Step 4

Cancel the common factor of $u$ and $u^{2}$ .

Tap for more steps...

Step 4.1

Raise $u$ to the power of $1$ .

$\frac{u^{1}}{u^{2} t}$

Step 4.2

Factor $u$ out of $u^{1}$ .

$\frac{u \cdot 1}{u^{2} t}$

Step 4.3

Cancel the common factors.

Tap for more steps...

Step 4.3.1

Factor $u$ out of $u^{2} t$ .

$\frac{u \cdot 1}{u (u t)}$

Step 4.3.2

Cancel the common factor.

$\frac{u \cdot 1}{u (u t)}$

Step 4.3.3

Rewrite the expression.

$\frac{1}{u t}$

$\frac{1}{u t}$

$\frac{1}{u t}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$