Solve frac{1/3/frac{1{3}}of1/3}{frac{1/3Offrac{1}{3}}{frac{1}{3}}}

$$\frac{ \frac{ \frac{ 1 }{ 3 } }{ \frac{ 1 }{ 3 } } of \frac{ 1 }{ 3 } }{ \frac{ \frac{ 1 }{ 3 } Of \frac{ 1 }{ 3 } }{ \frac{ 1 }{ 3 } } }$$

Evaluate

$$\frac{o}{O}$$

Solution Steps

Divide \frac{1}{3} by \frac{1}{3} to get 1.

$$\frac{1of\times \frac{1}{3}}{\frac{\frac{1}{3}Of\times \frac{1}{3}}{\frac{1}{3}}}$$

Multiply 1 and \frac{1}{3} to get \frac{1}{3}.

$$\frac{\frac{1}{3}of}{\frac{\frac{1}{3}Of\times \frac{1}{3}}{\frac{1}{3}}}$$

Cancel out \frac{1}{3} and \frac{1}{3}.

$$\frac{\frac{1}{3}of}{Of\times \frac{1}{3}}$$

Cancel out f in both numerator and denominator.

$$\frac{\frac{1}{3}o}{\frac{1}{3}O}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{o}{\left(\frac{1}{3}\right)^{0}O}$$

Calculate \frac{1}{3} to the power of 0 and get 1.

$$\frac{o}{1O}$$

For any term t, t\times 1=t and 1t=t.

$$\frac{o}{O}$$

Differentiate w.r.t. o

$$\frac{1}{O}$$