Basic Math Examples

$c = 3 \frac{1}{2} \cdot 320$

Step 1

Convert $3 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

$c = (3 + \frac{1}{2}) \cdot 320$

Step 1.2

Add $3$ and $\frac{1}{2}$ .

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Step 1.2.1

To write $3$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$c = (3 \cdot \frac{2}{2} + \frac{1}{2}) \cdot 320$

Step 1.2.2

Combine $3$ and $\frac{2}{2}$ .

$c = (\frac{3 \cdot 2}{2} + \frac{1}{2}) \cdot 320$

Step 1.2.3

Combine the numerators over the common denominator.

$c = \frac{3 \cdot 2 + 1}{2} \cdot 320$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $3$ by $2$ .

$c = \frac{6 + 1}{2} \cdot 320$

Step 1.2.4.2

Add $6$ and $1$ .

$c = \frac{7}{2} \cdot 320$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Factor $2$ out of $320$ .

$c = \frac{7}{2} \cdot (2 (160))$

Step 2.2

Cancel the common factor.

$c = \frac{7}{2} \cdot (2 \cdot 160)$

Step 2.3

Rewrite the expression.

$c = 7 \cdot 160$

Step 3

Multiply $7$ by $160$ .

$c = 1120$