Evaluate the following and express the answer as a fraction in its simplest form.

$\frac{9}{11} \div \frac{54}{55}$

Given: $\frac{9}{11} \div \frac{54}{55}$.

To do: Evaluate the following and express the answer as a fraction in its simplest form. 

Solution:

$\frac{54}{55}$  becomes $\frac{55}{54}$ when it comes to numerator,

=$\frac{9}{11} \times \frac{55}{54}$

=$\frac{9}{1} \times \frac{5}{54}$                 [$11 \times 5 = 55$]

=$\frac{1}{1} \times \frac{5}{6}$                    [$9 \times 6  = 54$]

=$\frac{5}{6}$                                                          

Therefore the simplest form of $\frac{9}{11} \div \frac{54}{55}$  is $\frac{5}{6}$                                 

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Updated on: 10-Oct-2022

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