Basic Math Examples

$\frac{19000 (\frac{4.5 %}{52})}{{(1 + \frac{4.5}{52})}^{52 \cdot 2} - 1}$

Step 1

Combine fractions.

Tap for more steps...

Step 1.1

Convert $4.5 %$ to a decimal.

$\frac{19000 (\frac{0.045}{52})}{{(1 + \frac{4.5}{52})}^{52 \cdot 2} - 1}$

Step 1.2

Combine $19000$ and $\frac{0.045}{52}$ .

$\frac{\frac{19000 \cdot 0.045}{52}}{{(1 + \frac{4.5}{52})}^{52 \cdot 2} - 1}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Divide $4.5$ by $52$ .

$\frac{\frac{19000 \cdot 0.045}{52}}{{(1 + 0.08653846)}^{52 \cdot 2} - 1}$

Step 2.2

Add $1$ and $0.08653846$ .

$\frac{\frac{19000 \cdot 0.045}{52}}{{1.08653846}^{52 \cdot 2} - 1}$

Step 2.3

Multiply $52$ by $2$ .

$\frac{\frac{19000 \cdot 0.045}{52}}{{1.08653846}^{104} - 1}$

Step 2.4

Raise $1.08653846$ to the power of $104$ .

$\frac{\frac{19000 \cdot 0.045}{52}}{5606.48720306 - 1}$

Step 2.5

Subtract $1$ from $5606.48720306$ .

$\frac{\frac{19000 \cdot 0.045}{52}}{5605.48720306}$

Step 3

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 3.1

Multiply $19000$ by $0.045$ .

$\frac{\frac{855}{52}}{5605.48720306}$

Step 3.2

Cancel the common factor of $855$ and $52$ .

Tap for more steps...

Step 3.2.1

Rewrite $855$ as $1 (855)$ .

$\frac{\frac{1 (855)}{52}}{5605.48720306}$

Step 3.2.2

Cancel the common factors.

Tap for more steps...

Step 3.2.2.1

Rewrite $52$ as $1 (52)$ .

$\frac{\frac{1 \cdot 855}{1 \cdot 52}}{5605.48720306}$

Step 3.2.2.2

Cancel the common factor.

$\frac{\frac{1 \cdot 855}{1 \cdot 52}}{5605.48720306}$

Step 3.2.2.3

Rewrite the expression.

$\frac{\frac{855}{52}}{5605.48720306}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{855}{52} \cdot \frac{1}{5605.48720306}$

Step 5

Divide $1$ by $5605.48720306$ .

$\frac{855}{52} \cdot 0.00017839$

Step 6

Multiply $\frac{855}{52} \cdot 0.00017839$ .

Tap for more steps...

Step 6.1

Combine $\frac{855}{52}$ and $0.00017839$ .

$\frac{855 \cdot 0.00017839}{52}$

Step 6.2

Multiply $855$ by $0.00017839$ .

$\frac{0.15252911}{52}$

Step 7

Divide $0.15252911$ by $52$ .

$0.00293325$