Basic Math Examples

$12250 = p (1 + 0.13 (\frac{250}{360}))$

Step 1

Rewrite the equation as $p (1 + 0.13 (\frac{250}{360})) = 12250$ .

$p (1 + 0.13 (\frac{250}{360})) = 12250$

Step 2

Simplify.

Tap for more steps...

Step 2.1

Cancel the common factor of $250$ and $360$ .

Tap for more steps...

Step 2.1.1

Factor $10$ out of $250$ .

$p (1 + 0.13 \frac{10 (25)}{360}) = 12250$

Step 2.1.2

Cancel the common factors.

Tap for more steps...

Step 2.1.2.1

Factor $10$ out of $360$ .

$p (1 + 0.13 \frac{10 \cdot 25}{10 \cdot 36}) = 12250$

Step 2.1.2.2

Cancel the common factor.

$p (1 + 0.13 \frac{10 \cdot 25}{10 \cdot 36}) = 12250$

Step 2.1.2.3

Rewrite the expression.

$p (1 + 0.13 (\frac{25}{36})) = 12250$

Step 2.2

Multiply $0.13 (\frac{25}{36})$ .

Tap for more steps...

Step 2.2.1

Combine $0.13$ and $\frac{25}{36}$ .

$p (1 + \frac{0.13 \cdot 25}{36}) = 12250$

Step 2.2.2

Multiply $0.13$ by $25$ .

$p (1 + \frac{3.25}{36}) = 12250$

Step 2.3

Divide $3.25$ by $36$ .

$p (1 + 0.0902\overline{7}) = 12250$

Step 2.4

Add $1$ and $0.0902\overline{7}$ .

$p \cdot 1.0902\overline{7} = 12250$

Step 3

Divide each term in $p \cdot 1.0902\overline{7} = 12250$ by $1.0902\overline{7}$ and simplify.

Tap for more steps...

Step 3.1

Divide each term in $p \cdot 1.0902\overline{7} = 12250$ by $1.0902\overline{7}$ .

$\frac{p \cdot 1.0902\overline{7}}{1.0902\overline{7}} = \frac{12250}{1.0902\overline{7}}$

Step 3.2

Simplify the left side.

Tap for more steps...

Step 3.2.1

Cancel the common factor of $1.0902\overline{7}$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor.

$\frac{p \cdot 1.0902\overline{7}}{1.0902\overline{7}} = \frac{12250}{1.0902\overline{7}}$

Step 3.2.1.2

Divide $p$ by $1$ .

$p = \frac{12250}{1.0902\overline{7}}$

Step 3.3

Simplify the right side.

Tap for more steps...

Step 3.3.1

Divide $12250$ by $1.0902\overline{7}$ .

$p = 11235.6687898$