7. Work out which fraction in each of these sets of fractions is the smallest. Find a common multiple for each of the denominators and then make equivalent fractions with the common multiple as the denominator.


a) 1


– 2, 1


– 3, 1


– 4


b) 3


– 4, 2


– 3, 5


– 6


c) 3


– 4, 4


– 5, 7


__ 10


d) 5 __


12, 5


– 6, 3


– 4


e) 2


– 3, 5


– 6, 7


– 9


f) 3


– 8, 7


__ 12, 5


– 6


8. Add these fractions. If your answer is an improper fraction, then change it to a mixed number.


a) 1


– 2 + 5


– 6 – 1


– 6


9. Now try these. a) 5


– 4


– 3 + 11


– 6


b) 2 b) 7


– 3 + 7


– 8 – 2


b) 13


– 9


c) 1


– 3


c) 4


– 4 + 43


– 8


– 6 + 8


– 9


d) 3


– 5 – 7


c) 34


__ 10


10. Now try these whichever way you prefer. a) 21


– 5 + 19


__ 10


d) 8


– 8 + 2


– 9 – 1


d) 55


– 3


e) 5


– 6


– 8 + 5


e) 7 __


– 6 + 23


__ 12


f) 7 12 – 3


– 4


e) 33


– 8


f) 4


– 4 + 22


– 3


– 8 + 3


– 5 – 3


f) 47


– 4


– 4


– 8 + 31


– 6


11. Now subtract these as mixed numbers. Don’t forget to borrow from your units if you need to.


a) 31


– 2 – 13


– 8


b) 41


– 6 – 22


– 3


c) 51


– 5 – 1 7


__ 10


d) 63


– 4 – 45


– 6


e) 73


– 5 – 23


– 4


f) 68


– 9 – 45


– 6


Recap • I know what equivalent fractions are. • I know how to change improper fractions into mixed numbers. • I know how to change mixed numbers into improper fractions. • I can add mixed numbers. • I can subtract mixed numbers.


Fractions 1


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