Basic Math Examples

$A = \frac{1}{2} \cdot (b (9 \frac{1}{2}))$

Step 1

Remove parentheses.

$A = \frac{1}{2} \cdot (b (9 \frac{1}{2}))$

Step 2

Simplify $\frac{1}{2} \cdot (b (9 \frac{1}{2}))$ .

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Step 2.1

Convert $9 \frac{1}{2}$ to an improper fraction.

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Step 2.1.1

A mixed number is an addition of its whole and fractional parts.

$A = \frac{1}{2} \cdot (b (9 + \frac{1}{2}))$

Step 2.1.2

Add $9$ and $\frac{1}{2}$ .

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Step 2.1.2.1

To write $9$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$A = \frac{1}{2} \cdot (b (9 \cdot \frac{2}{2} + \frac{1}{2}))$

Step 2.1.2.2

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

$A = \frac{1}{2} \cdot (b (\frac{9 \cdot 2}{2} + \frac{1}{2}))$

Step 2.1.2.3

Combine the numerators over the common denominator.

$A = \frac{1}{2} \cdot (b \frac{9 \cdot 2 + 1}{2})$

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply $9$ by $2$ .

$A = \frac{1}{2} \cdot (b \frac{18 + 1}{2})$

Step 2.1.2.4.2

Add $18$ and $1$ .

$A = \frac{1}{2} \cdot (b \frac{19}{2})$

Step 2.2

Combine $b$ and $\frac{19}{2}$ .

$A = \frac{1}{2} \cdot \frac{b \cdot 19}{2}$

Step 2.3

Move $19$ to the left of $b$ .

$A = \frac{1}{2} \cdot \frac{19 \cdot b}{2}$

Step 2.4

Multiply $\frac{1}{2} \cdot \frac{19 b}{2}$ .

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Step 2.4.1

Multiply $\frac{1}{2}$ by $\frac{19 b}{2}$ .

$A = \frac{19 b}{2 \cdot 2}$

Step 2.4.2

Multiply $2$ by $2$ .

$A = \frac{19 b}{4}$