Fragmenting Fragments Concept

First
Freddie had 800 stickers. He gave 5/8 of it to James and 4/5 of the remainder to Nasha. How many stickers did Freddie have left?


Fraction of a Fraction Method


Remainder = 3/8 of Original


Amount Left 
= 1/5 of Remainder
= 1/5 of 3/8 of Original
= 1/5 x 3/8 x 800 = 60 stickers


Ratio Method

(Original)
James : Remainder : Original
= 5 : 3 : 8
= 25 : 15 : 40

(Remainder)
Nasha : Left : Remainder
= 4 : 1 : 5
= 12 : 3 : 15

Amount Left = 3/40 x 800 = 60 stickers


Second
Rick had $480. He spent 5/8 of it on a watch and 3/5 of the remainder on a pair of shoes. How much money did Rick have left?


Amount Left 
= 2/5 of Remainder 
= 2/5 of 3/8 of Original
= 2/5 x 3/8 x $480
= $72


Third
Joe had $490. He gave 5/7 of his money to Janet and 2/7 of the remainder to Raymond. How much money did Joe have left?


Amount Left
= 5/7 of Remainder
= 5/7 of 2/7 of Original
= 5/7 x 2/7 x $490
= $100


Fourth
A chocolate supplier had 540 chocolate bars, He distributed 5/9 of the chocolate bars in the morning and 2/3 of the remainder in the afternoon. How many chocolate bars did the supplier have left?


Amount Left 
= 1/3 of Remainder
= 1/3 of 4/9 of Original
= 1/3 x 4/9 x 540
= 80 chocolate bars










KIV
Mrs Goh went to Lings Shopping Mall with $200. She spent 45% of her money on a shirt and 60% of the remainder on a pair of shoes.
a) How much did she spend on the pair of shoes?
b) How much had she left?

A shopkeeper bought 360kg of flour. He sold 35% of it at $1.20 per kg. He then packed 2/3 of the remainder into packets of 4 kg each. He sold all the packets at $2.20 each.
a) How many packets of 4 kg each did he pack?
b) How much did he collect altogether?




At a book fair, 2/5 of the customers were men. There were thrice as many women as children. If there were 95 more men than children, how many customers were there at the book fair?

Alice cut 5/6 of a cake for her friends.
She gave 3/4 of the remainder to her sister.
What fraction of the caie did Alice give to her sister?