Yes hello student I can help you with this.
The problem states:
How many groups of 3/4 are in each of the following quantities.
So it sounds like it’s asking how many 3/4’s can go into 11/4 and 6 1/2. So we’ll use division.
First, let’s do 11/4.
11/4 divided by 3/4
When dividing by fractions, remember this tip: “keep, change, flip.” So keep the first fraction as it is, change the division sign to a multiplication sign, and flip the second fraction. So:
11/4 x 4/3
44/12
Simplify:
11/3 or 3 2/3 or 3.6666…
So the answer for 5a is above.
Now let’s do 5b.
6 1/2 divided by 3/4
First, convert mixed fraction to improper fraction to do the keep, change, flip:
13/2 divided by 3/4
Now, keep, change, flip:
13/2 x 4/3
52/6
Simply:
26/3 or 8 2/3 or 8.6666…
And above is your answer for 5b!
Hope this helped!