Question

Evaluate $\frac{33}{33\frac 13}$. Express your answer as a fraction in simplest form. (Thus the numerator and denominator should be integers whose greatest common divisor is $1$.)

Answer 1

`(99)/(100)`

Explanation:

We need to evaluate
`(33)/(33\frac 13)`. Here, 33 is numerator and
`33(1)/(3)`.

Firstly, we will solve the denominator.

`33(1)/(3)=(33* 3+1)/(3)\\\\=(100)/(3)`

The given expression becomes,

`(33)/(33\frac 13)=(33)/((100)/(3))\\\\=(33* 3)/(100)\\\\=(99)/(100)`

Hence, the required answer is 99/100.