Can you work out a quick way of changing a mixed number into an improper fraction? Talk about it with the people near you.


4. Now change these mixed numbers into improper fractions the quick way. a) 18 d) 52 g) 73


– 9 = –


9


– 3 = –


3


– 5 = –


5


b) 2 1 __


e) 41 h) 66


10 = __


– 7 = –


7


– 7 = –


7 10


c) 43 f) 33 i) 95


Changing Improper Fractions into Mixed Numbers


Charles was Charlotte’s main rival for the Champion Chocolate Chewer’s Crown. He practised by eating 13 pieces of chocolate a day. The bars that he preferred had 4 pieces of chocolate in them. How many full bars and extra pieces did he eat?


– 4 = –


4


– 8 = –


8


– 9 = –


9


Sort the pieces of chocolate into groups of 4. How many full groups of 4 pieces are there? How many leftover pieces are there? You can write it as a mixed number.


The denominator is always the number of pieces in a full bar, so 13


__ 4 = 31


– 4.


A mixed number is a number that is made up of a whole number and a fraction.


1. Now see how many full bars and extra pieces each of these people ate. Draw the pieces and sort them to help you.


a) Chuck ate 15 pieces a day and his bars had 8 pieces in them. b) Chad ate 18 pieces a day and his bars had 7 pieces in them. c) Chris ate 23 pieces a day and his bars had 9 pieces in them. d) Chip ate 21 pieces a day and his bars had 6 pieces in them. e) Chandler ate 26 pieces a day and his bars had 3 pieces in them. f) Chesney ate 27 pieces a day and his bars had 4 pieces in them.


56 Fractions 1


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