Basic Math Examples

$\frac{2 b}{3} \cdot \frac{9 b}{6}$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Factor $2$ out of $2 b$ .

$\frac{2 (b)}{3} \cdot \frac{9 b}{6}$

Step 1.2

Factor $2$ out of $6$ .

$\frac{2 (b)}{3} \cdot \frac{9 b}{2 (3)}$

Step 1.3

Cancel the common factor.

$\frac{2 b}{3} \cdot \frac{9 b}{2 \cdot 3}$

Step 1.4

Rewrite the expression.

$\frac{b}{3} \cdot \frac{9 b}{3}$

$\frac{b}{3} \cdot \frac{9 b}{3}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $9 b$ .

$\frac{b}{3} \cdot \frac{3 (3 b)}{3}$

Step 2.2

Cancel the common factor.

$\frac{b}{3} \cdot \frac{3 (3 b)}{3}$

Step 2.3

Rewrite the expression.

$b \cdot \frac{3 b}{3}$

$b \cdot \frac{3 b}{3}$

Step 3

Combine $b$ and $\frac{3 b}{3}$ .

$\frac{b (3 b)}{3}$

Step 4

Raise $b$ to the power of $1$ .

$\frac{3 (b^{1} b)}{3}$

Step 5

Raise $b$ to the power of $1$ .

$\frac{3 (b^{1} b^{1})}{3}$

Step 6

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{3 b^{1 + 1}}{3}$

Step 7

Add $1$ and $1$ .

$\frac{3 b^{2}}{3}$

Step 8

Cancel the common factor of $3$ .

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Step 8.1

Cancel the common factor.

$\frac{3 b^{2}}{3}$

Step 8.2

Divide $b^{2}$ by $1$ .

$b^{2}$

$b^{2}$

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