Let’s solve each ratio step by step. We’ll reduce them to their smallest terms by dividing both numbers by their greatest common factor (GCF).
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b. 12 : 24
Find the GCF of 12 and 24 → it’s 12.
Divide both by 12:
12 ÷ 12 = 1
24 ÷ 12 = 2
So,
12 : 24 = 1 : 2
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c. 8 : 32
GCF of 8 and 32 → 8
8 ÷ 8 = 1
32 ÷ 8 = 4
So,
8 : 32 = 1 : 4
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d. 12 : 48
GCF of 12 and 48 → 12
12 ÷ 12 = 1
48 ÷ 12 = 4
So,
12 : 48 = 1 : 4
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e. 5 : 10
GCF of 5 and 10 → 5
5 ÷ 5 = 1
10 ÷ 5 = 2
So,
5 : 10 = 1 : 2
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f. 8 : 14
GCF of 8 and 14 → 2
8 ÷ 2 = 4
14 ÷ 2 = 7
So,
8 : 14 = 4 : 7
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g. 14 : 26
GCF of 14 and 26 → 2
14 ÷ 2 = 7
26 ÷ 2 = 13
So,
14 : 26 = 7 : 13
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h. 12 : 20
GCF of 12 and 20 → 4
12 ÷ 4 = 3
20 ÷ 4 = 5
So,
12 : 20 = 3 : 5
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Final Answer:
b. 1 : 2
c. 1 : 4
d. 1 : 4
e. 1 : 2
f. 4 : 7
g. 7 : 13
h. 3 : 5
Parent Tip: Review the logic above to help your child master the concept of reducing ratios worksheet.