Basic Math Examples

$\ln (\frac{\frac{10000}{4080}}{3})$

Step 1

Cancel the common factor of $10000$ and $4080$ .

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Step 1.1

Factor $80$ out of $10000$ .

$\ln (\frac{\frac{80 (125)}{4080}}{3})$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $80$ out of $4080$ .

$\ln (\frac{\frac{80 \cdot 125}{80 \cdot 51}}{3})$

Step 1.2.2

Cancel the common factor.

$\ln (\frac{\frac{80 \cdot 125}{80 \cdot 51}}{3})$

Step 1.2.3

Rewrite the expression.

$\ln (\frac{\frac{125}{51}}{3})$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\ln (\frac{125}{51} \cdot \frac{1}{3})$

Step 3

Multiply $\frac{125}{51} \cdot \frac{1}{3}$ .

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Step 3.1

Multiply $\frac{125}{51}$ by $\frac{1}{3}$ .

$\ln (\frac{125}{51 \cdot 3})$

Step 3.2

Multiply $51$ by $3$ .

$\ln (\frac{125}{153})$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\ln (\frac{125}{153})$

Decimal Form:

$- 0.20212418 \dots$