Finite Math Examples

$t = \frac{3}{2} \cdot (\frac{3}{2} \cdot (3 p + 1))$

Step 1

Remove parentheses.

$t = \frac{3}{2} \cdot \frac{3}{2} \cdot (3 p + 1)$

Step 2

Simplify $\frac{3}{2} \cdot \frac{3}{2} \cdot (3 p + 1)$ .

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Step 2.1

Multiply $\frac{3}{2} \cdot \frac{3}{2}$ .

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Step 2.1.1

Multiply $\frac{3}{2}$ by $\frac{3}{2}$ .

$t = \frac{3 \cdot 3}{2 \cdot 2} \cdot (3 p + 1)$

Step 2.1.2

Multiply $3$ by $3$ .

$t = \frac{9}{2 \cdot 2} \cdot (3 p + 1)$

Step 2.1.3

Multiply $2$ by $2$ .

$t = \frac{9}{4} \cdot (3 p + 1)$

Step 2.2

Apply the distributive property.

$t = \frac{9}{4} (3 p) + \frac{9}{4} \cdot 1$

Step 2.3

Multiply $\frac{9}{4} (3 p)$ .

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Step 2.3.1

Combine $3$ and $\frac{9}{4}$ .

$t = \frac{3 \cdot 9}{4} p + \frac{9}{4} \cdot 1$

Step 2.3.2

Multiply $3$ by $9$ .

$t = \frac{27}{4} p + \frac{9}{4} \cdot 1$

Step 2.3.3

Combine $\frac{27}{4}$ and $p$ .

$t = \frac{27 p}{4} + \frac{9}{4} \cdot 1$

Step 2.4

Multiply $\frac{9}{4}$ by $1$ .

$t = \frac{27 p}{4} + \frac{9}{4}$