Basic Math Examples

$561 ({(1 + \frac{5.3}{52} \div 100)}^{1000} - 1) \div \frac{5.3}{52} \div 100$

Step 1

Rewrite the division as a fraction.

$\frac{561 ({(1 + \frac{5.3}{52} \div 100)}^{1000} - 1) \div \frac{5.3}{52}}{100}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$561 ({(1 + \frac{5.3}{52} \div 100)}^{1000} - 1) \div \frac{5.3}{52} \cdot \frac{1}{100}$

Step 3

Combine fractions.

Tap for more steps...

Step 3.1

Combine.

$\frac{561 ({(1 + \frac{5.3}{52} \div 100)}^{1000} - 1) \cdot 1}{\frac{5.3}{52} \cdot 100}$

Step 3.2

Simplify the expression.

Tap for more steps...

Step 3.2.1

Divide $5.3$ by $52$ .

$\frac{561 ({(1 + 0.10192307 \div 100)}^{1000} - 1) \cdot 1}{\frac{5.3}{52} \cdot 100}$

Step 3.2.2

Multiply $561$ by $1$ .

$\frac{561 ({(1 + 0.10192307 \div 100)}^{1000} - 1)}{\frac{5.3}{52} \cdot 100}$

Step 3.3

Combine $\frac{5.3}{52}$ and $100$ .

$\frac{561 ({(1 + 0.10192307 \div 100)}^{1000} - 1)}{\frac{5.3 \cdot 100}{52}}$

Step 3.4

Multiply $5.3$ by $100$ .

$\frac{561 ({(1 + 0.10192307 \div 100)}^{1000} - 1)}{\frac{530}{52}}$

Step 4

Simplify the numerator.

Tap for more steps...

Step 4.1

Divide $0.10192307$ by $100$ .

$\frac{561 ({(1 + 0.00101923)}^{1000} - 1)}{\frac{530}{52}}$

Step 4.2

Add $1$ and $0.00101923$ .

$\frac{561 ({1.00101923}^{1000} - 1)}{\frac{530}{52}}$

Step 4.3

Raise $1.00101923$ to the power of $1000$ .

$\frac{561 (2.76962437 - 1)}{\frac{530}{52}}$

Step 4.4

Subtract $1$ from $2.76962437$ .

$\frac{561 \cdot 1.76962437}{\frac{530}{52}}$

Step 5

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 5.1

Cancel the common factor of $530$ and $52$ .

Tap for more steps...

Step 5.1.1

Factor $2$ out of $530$ .

$\frac{561 \cdot 1.76962437}{\frac{2 (265)}{52}}$

Step 5.1.2

Cancel the common factors.

Tap for more steps...

Step 5.1.2.1

Factor $2$ out of $52$ .

$\frac{561 \cdot 1.76962437}{\frac{2 \cdot 265}{2 \cdot 26}}$

Step 5.1.2.2

Cancel the common factor.

$\frac{561 \cdot 1.76962437}{\frac{2 \cdot 265}{2 \cdot 26}}$

Step 5.1.2.3

Rewrite the expression.

$\frac{561 \cdot 1.76962437}{\frac{265}{26}}$

Step 5.2

Multiply $561$ by $1.76962437$ .

$\frac{992.75927422}{\frac{265}{26}}$

Step 6

Multiply the numerator by the reciprocal of the denominator.

$992.75927422 (\frac{26}{265})$

Step 7

Multiply $992.75927422 (\frac{26}{265})$ .

Tap for more steps...

Step 7.1

Combine $992.75927422$ and $\frac{26}{265}$ .

$\frac{992.75927422 \cdot 26}{265}$

Step 7.2

Multiply $992.75927422$ by $26$ .

$\frac{25811.74112996}{265}$

Step 8

Divide $25811.74112996$ by $265$ .

$97.40279671$