Pre-Algebra Examples

$4 \frac{4}{9}$

Step 1

To convert from slope to percent grade, multiply the slope by a hundred.

$4 \frac{4}{9} = 4 \frac{4}{9} \cdot 100$

Step 2

Convert $4 \frac{4}{9}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

$(4 + \frac{4}{9}) \cdot 100 %$

Step 2.2

Add $4$ and $\frac{4}{9}$ .

Tap for more steps...

Step 2.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$(4 \cdot \frac{9}{9} + \frac{4}{9}) \cdot 100 %$

Step 2.2.2

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

$(\frac{4 \cdot 9}{9} + \frac{4}{9}) \cdot 100 %$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{4 \cdot 9 + 4}{9} \cdot 100 %$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply $4$ by $9$ .

$\frac{36 + 4}{9} \cdot 100 %$

Step 2.2.4.2

Add $36$ and $4$ .

$\frac{40}{9} \cdot 100 %$

Step 3

Multiply $\frac{40}{9} \cdot 100$ .

Tap for more steps...

Step 3.1

Combine $\frac{40}{9}$ and $100$ .

$\frac{40 \cdot 100}{9 %}$

Step 3.2

Multiply $40$ by $100$ .

$\frac{4000}{9 %}$