Basic Math Examples

4 \frac{1}{2} \cdot f t

$4 \frac{1}{2} \cdot f t$

Step 1

Convert

$4 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

$(4 + \frac{1}{2}) \cdot (f t)$

Step 1.2

Add

$4$ and

$\frac{1}{2}$ .

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Step 1.2.1

To write

$4$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$(4 \cdot \frac{2}{2} + \frac{1}{2}) \cdot (f t)$

Step 1.2.2

Combine

$4$ and

$\frac{2}{2}$ .

$(\frac{4 \cdot 2}{2} + \frac{1}{2}) \cdot (f t)$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{4 \cdot 2 + 1}{2} \cdot (f t)$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$4$ by

$2$ .

$\frac{8 + 1}{2} \cdot (f t)$

Step 1.2.4.2

Add

$8$ and

$1$ .

$\frac{9}{2} \cdot (f t)$

Step 2

Multiply

$\frac{9}{2} (f t)$ .

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Step 2.1

Combine

$f$ and

$\frac{9}{2}$ .

$\frac{f \cdot 9}{2} t$

Step 2.2

Combine

$\frac{f \cdot 9}{2}$ and

$t$ .

$\frac{f \cdot 9 t}{2}$

Step 3

Move

$9$ to the left of

$f$ .

$\frac{9 f t}{2}$