Basic Math Examples

$\frac{s^{2}}{18} \div \frac{5 s^{2}}{21}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{s^{2}}{18} \cdot \frac{21}{5 s^{2}}$

Step 2

Combine.

$\frac{s^{2} \cdot 21}{18 (5 s^{2})}$

Step 3

Cancel the common factor of $s^{2}$ .

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Step 3.1

Cancel the common factor.

$\frac{s^{2} \cdot 21}{18 (5 s^{2})}$

Step 3.2

Rewrite the expression.

$\frac{21}{18 \cdot (5)}$

$\frac{21}{18 \cdot (5)}$

Step 4

Cancel the common factor of $21$ and $18$ .

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Step 4.1

Factor $3$ out of $21$ .

$\frac{3 (7)}{18 \cdot (5)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $18 \cdot (5)$ .

$\frac{3 (7)}{3 (6 \cdot 5)}$

Step 4.2.2

Cancel the common factor.

$\frac{3 \cdot 7}{3 (6 \cdot 5)}$

Step 4.2.3

Rewrite the expression.

$\frac{7}{6 \cdot 5}$

$\frac{7}{6 \cdot 5}$

$\frac{7}{6 \cdot 5}$

Step 5

Multiply $6$ by $5$ .

$\frac{7}{30}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{30}$

Decimal Form:

$0.2\overline{3}$

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