Three quarters means taking 3 parts from a pizza which has been cut into 4 slices.

If we imagine 6 pizzas being sliced into quarters, there will be a total of 24 of them.

So, the question is basically asking, how many groups of 3 are there in 24?

There will be 8 groups.

So, there are a total of 8 of the three-quarters in 6 wholes.

1 whole can be cut into 4 quarters.

If one whole →■■■■

Then ■→ 1 piece out of 4 →¼ (one quarter)

Then ■■■→ 3 pieces out of 4 → ¾ (three quarters)

Question : How many ¾ in 6 wholes ?

6 wholes → 6 x 4 quarters = 24 quarters
■■■■ ■■■■ ■■■■ ■■■■ ■■■■ ■■■■

So how many sets of ■■■ can we get ?

24 quarters ÷ 3 quarters per set = 8 sets
We can get 8 sets of ¾

The 6 wholes can be divided into the following :

■■■ ■■■ ■■■ ■■■ ■■■ ■■■ ■■■ ■■■

There are 8 sets of 3 pieces, the total is still 24 pieces

2 ways to do the working :

① 6 = 6/1
= 6/1 × 4/4 = 24/4

24/4 ÷ ¾ = 24 ÷ 3 = 8

or

24/4 = 8/1 × ¾ = 8 × ¾

So there are 8 'three quarters' in 6 wholes.


② Division of fractions (will only be taught in P6)

6/1 ÷ ¾ = 6/1 × 4/3 = 24/3 = 8

Basic principle is , when dividing by the fraction,

1. Invert its numerator and denominator.
2. Change the ÷ sign into × sign.