Question

Evaluate 33/ 33 1/3. 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

`(1089)/( 100 )`

Explanation:

`\huge (33)/(33 (1)/(3) ) \\ \\ \huge= (33)/( (33 * 3 + 1)/(33) ) \\ \\ \huge= (33)/( (99 + 1)/(33) ) \\ \\ \huge= (33)/( (100)/(33) ) \\ \\ \huge= (33 * 33)/( 100 ) \\ \\ \huge= (1089)/( 100 )`