Pre-Algebra Examples

$\frac{7 x}{y^{4}} \div 21 x$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{7 x}{y^{4}}}{21 x}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{7 x}{y^{4}} \cdot \frac{1}{21 x}$

Step 3

Combine.

$\frac{7 x \cdot 1}{y^{4} (21 x)}$

Step 4

Cancel the common factor of $7$ and $21$ .

Tap for more steps...

Step 4.1

Factor $7$ out of $7 x \cdot 1$ .

$\frac{7 (x \cdot 1)}{y^{4} (21 x)}$

Step 4.2

Cancel the common factors.

Tap for more steps...

Step 4.2.1

Factor $7$ out of $y^{4} (21 x)$ .

$\frac{7 (x \cdot 1)}{7 (y^{4} (3 x))}$

Step 4.2.2

Cancel the common factor.

$\frac{7 (x \cdot 1)}{7 (y^{4} (3 x))}$

Step 4.2.3

Rewrite the expression.

$\frac{x \cdot 1}{y^{4} (3 x)}$

$\frac{x \cdot 1}{y^{4} (3 x)}$

$\frac{x \cdot 1}{y^{4} (3 x)}$

Step 5

Cancel the common factor of $x$ .

Tap for more steps...

Step 5.1

Cancel the common factor.

$\frac{x \cdot 1}{y^{4} (3 x)}$

Step 5.2

Rewrite the expression.

$\frac{1}{y^{4} \cdot (3)}$

$\frac{1}{y^{4} \cdot (3)}$

Step 6

Move $3$ to the left of $y^{4}$ .

$\frac{1}{3 y^{4}}$

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