Basic Math Examples

$\frac{9}{2} y \cdot \frac{5}{6} \cdot y$

Step 1

Multiply $y$ by $y$ by adding the exponents.

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Step 1.1

Move $y$ .

$\frac{9}{2} (y \cdot y) \cdot \frac{5}{6}$

Step 1.2

Multiply $y$ by $y$ .

$\frac{9}{2} y^{2} \cdot \frac{5}{6}$

$\frac{9}{2} y^{2} \cdot \frac{5}{6}$

Step 2

Combine $\frac{9}{2}$ and $y^{2}$ .

$\frac{9 y^{2}}{2} \cdot \frac{5}{6}$

Step 3

Combine.

$\frac{9 y^{2} \cdot 5}{2 \cdot 6}$

Step 4

Cancel the common factor of $9$ and $6$ .

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Step 4.1

Factor $3$ out of $9 y^{2} \cdot 5$ .

$\frac{3 (3 y^{2} \cdot 5)}{2 \cdot 6}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $3$ out of $2 \cdot 6$ .

$\frac{3 (3 y^{2} \cdot 5)}{3 (2 \cdot 2)}$

Step 4.2.2

Cancel the common factor.

$\frac{3 (3 y^{2} \cdot 5)}{3 (2 \cdot 2)}$

Step 4.2.3

Rewrite the expression.

$\frac{3 y^{2} \cdot 5}{2 \cdot 2}$

$\frac{3 y^{2} \cdot 5}{2 \cdot 2}$

$\frac{3 y^{2} \cdot 5}{2 \cdot 2}$

Step 5

Multiply.

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Step 5.1

Multiply $5$ by $3$ .

$\frac{15 y^{2}}{2 \cdot 2}$

Step 5.2

Multiply $2$ by $2$ .

$\frac{15 y^{2}}{4}$

$\frac{15 y^{2}}{4}$

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