Question

How many groups of 3/4 are in 11/4 . Please put it in explanation.

Answer 1

To determine how many times does "3/4" fit in "11/4" you have to divide 11/4 by 3/4

`(11)/(4)/(3)/(4)`

When you are dividing two fractions, you have invert the fraction that is the denominator of the division:

`(3)/(4)\to(4)/(3)`

And then multiply it by the numberator:

`(11)/(4)\cdot(4)/(3)=(11\cdot4)/(4\cdot3)=(44)/(12)=(11)/(3)\cong3.6`

This means that 3/4 fits 3 times in 11/4 and there is a reminder.