Solve 11/21div1100/21

$$\frac{ 11 }{ 21 } \div \frac{ 1100 }{ 21 }$$

Evaluate

$$\frac{1}{100}=0.01$$

Solution Steps

Divide \frac{11}{21} by \frac{1100}{21} by multiplying \frac{11}{21} by the reciprocal of \frac{1100}{21}.

$$\frac{11}{21}\times \frac{21}{1100}$$

Multiply \frac{11}{21} times \frac{21}{1100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 21}{21\times 1100}$$

Cancel out 21 in both numerator and denominator.

$$\frac{11}{1100}$$

Reduce the fraction \frac{11}{1100} to lowest terms by extracting and canceling out 11.

$$\frac{1}{100}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 5 ^ {2}} = 0.01$$