Basic Math Examples

$(\frac{5}{2}) (\frac{5}{4}) (\frac{2}{3})$

Step 1

Multiply $(\frac{5}{2}) (\frac{5}{4})$ .

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Step 1.1

Multiply $\frac{5}{2}$ by $\frac{5}{4}$ .

$\frac{5 \cdot 5}{2 \cdot 4} \cdot \frac{2}{3}$

Step 1.2

Multiply $5$ by $5$ .

$\frac{25}{2 \cdot 4} \cdot \frac{2}{3}$

Step 1.3

Multiply $2$ by $4$ .

$\frac{25}{8} \cdot \frac{2}{3}$

$\frac{25}{8} \cdot \frac{2}{3}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $8$ .

$\frac{25}{2 (4)} \cdot \frac{2}{3}$

Step 2.2

Cancel the common factor.

$\frac{25}{2 \cdot 4} \cdot \frac{2}{3}$

Step 2.3

Rewrite the expression.

$\frac{25}{4} \cdot \frac{1}{3}$

$\frac{25}{4} \cdot \frac{1}{3}$

Step 3

Multiply $\frac{25}{4}$ by $\frac{1}{3}$ .

$\frac{25}{4 \cdot 3}$

Step 4

Multiply $4$ by $3$ .

$\frac{25}{12}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{12}$

Decimal Form:

$2.08\overline{3}$

Mixed Number Form:

$2 \frac{1}{12}$

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