75: 120: 132 simplify
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Answer:
a:b:c = 25:40:44 (simplified)
b:a = 8:5 (simplified)
b:c = 10:11 (simplified)
Step-by-step explanation:
a:b:c ---> 75:120:132
SIMPLIFYING a:b:c :
First, find out the HCF of 75, 120 and 132.
120 and 75 :
120 = 75*1 + 45
=> 75 = 45*1 + 30
=> 45 = 30*1 + 15
=> 30 = 15*2 + 0
Now, 15 and 132 :
132 = 15*8 + 12
=> 15 = 12*1 + 3
=> 12 = 3*4 + 0
Thus, HCF of 75, 120 and 132 is 3.
Now divide all three nos. by 3.
75/3: 120/3: 132/3
=> 25:40:44 is the simplified form of 75:120:132.
FINDING b:a :
As a:b:c = 25:40:44,
b:a = 40:25 => 8:5 (Dividing by 5)
FINDING b:c :
As a:b:c = 25:40:44,
b:c = 40:44 => 10:11 (Dividing by 4)
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