3. Divide these amounts of money between Tony and Adam according to the ratio indicated. Tony’s share is the fi rst number in each of the ratios.
a) Share €24 in a ratio of 3 : 1 c) Share €56 in a ratio of 4 : 3 e) Share €48 in a ratio of 3 : 5
b) Share €30 in a ratio of 2 : 3 d) Share €27 in a ratio of 2 : 1 f) Share €72 in a ratio of 5 : 4
Gemma and Sinéad won a prize in a raffl e. They divided it between them so that Gemma got €40 and Sinéad got €24. What ratio did they divide the prize in?
If Gemma got €40 and Sinéad got €24, the total prize was €64. What fraction of the total prize did each get?
Gemma = 40
__ 64
__ 64 = 5
– 8
Sinéad = 24
__ 64
Now reduce the fractions to their lowest terms. 40
24
__ 64 = 3
– 8
The 2 numerators give you the ratio, so the prize was divided in a ratio of 5 : 3.
4. Work out what ratios were used to divide these prizes. Remember to add the 2 amounts to work out the total prize fi rst.
a) Joe got €16 and Jim got €8 b) Lorraine got €24 and Simon got €16 c) Phil got €30 and Paula got €50 d) Laura got €48 and Richard got €40
Homework 1. Work these out. Draw the fractions to check your answers. a) 1 d) 2
– 3 of 1
– 3 of 4
– 5
– 5
b) 1 e) 3
– 2 of 2
– 4 of 2
– 3
– 5
c) 1 f) 3
– 4 of 1
– 8 of 1
– 6
– 2
2. Try these. Reduce your answers as far as you can by dividing by members of the family of 1.
a) 2 d) 5 g) 2
– 3 of 1
– 9 × 3
– 5 × 3
– 4
– 8
– 6
b) 3 e) 7
– 4 of 5
– 8 × 5
h) 3 __
– 7
10 × 4
– 9
– 6
c) 1 f) 8 i)
3
– 8 of 4
– 9 × 6
– 7
– 5 × 5
__ 12
Fractions 2 89
– 5
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