Basic Math Examples

$\frac{20 + (2^{51} - 1) (40)}{2^{51}}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Raise $2$ to the power of $51$ .

$\frac{20 + (2251799813685250 - 1) \cdot 40}{2^{51}}$

Step 1.2

Subtract $1$ from $2251799813685250$ .

$\frac{20 + 2251799813685249 \cdot 40}{2^{51}}$

Step 1.3

Multiply $2251799813685249$ by $40$ .

$\frac{20 + 90071992547409960}{2^{51}}$

Step 1.4

Add $20$ and $90071992547409960$ .

$\frac{90071992547409980}{2^{51}}$

Step 2

Reduce the expression by cancelling the common factors.

Tap for more steps...

Step 2.1

Raise $2$ to the power of $51$ .

$\frac{90071992547409980}{2251799813685250}$

Step 2.2

Cancel the common factor of $90071992547409980$ and $2251799813685250$ .

Tap for more steps...

Step 2.2.1

Factor $10$ out of $90071992547409980$ .

$\frac{10 (9007199254740998)}{2251799813685250}$

Step 2.2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.2.1

Factor $10$ out of $2251799813685250$ .

$\frac{10 \cdot 9007199254740998}{10 \cdot 225179981368525}$

Step 2.2.2.2

Cancel the common factor.

$\frac{10 \cdot 9007199254740998}{10 \cdot 225179981368525}$

Step 2.2.2.3

Rewrite the expression.

$\frac{9007199254740998}{225179981368525}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{9007199254740998}{225179981368525}$

Decimal Form:

$40$