Basic Math Examples

$\frac{14 z}{5 y} \div \frac{7 z}{4 y}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{14 z}{5 y} \cdot \frac{4 y}{7 z}$

Step 2

Cancel the common factor of $7 z$ .

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Step 2.1

Factor $7 z$ out of $14 z$ .

$\frac{7 z (2)}{5 y} \cdot \frac{4 y}{7 z}$

Step 2.2

Cancel the common factor.

$\frac{7 z \cdot 2}{5 y} \cdot \frac{4 y}{7 z}$

Step 2.3

Rewrite the expression.

$\frac{2}{5 y} (4 y)$

$\frac{2}{5 y} (4 y)$

Step 3

Cancel the common factor of $y$ .

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Step 3.1

Factor $y$ out of $5 y$ .

$\frac{2}{y \cdot 5} (4 y)$

Step 3.2

Factor $y$ out of $4 y$ .

$\frac{2}{y \cdot 5} (y \cdot 4)$

Step 3.3

Cancel the common factor.

$\frac{2}{y \cdot 5} (y \cdot 4)$

Step 3.4

Rewrite the expression.

$\frac{2}{5} \cdot 4$

$\frac{2}{5} \cdot 4$

Step 4

Combine $\frac{2}{5}$ and $4$ .

$\frac{2 \cdot 4}{5}$

Step 5

Multiply $2$ by $4$ .

$\frac{8}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{5}$

Decimal Form:

$1.6$

Mixed Number Form:

$1 \frac{3}{5}$

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