If a:b = 5:6 , b:c =4:7 then find a:b:c
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Step-by-step explanation:
a:b:c=?
lets put b and c in the form of a
Given: a:b=5:6 a/b =5/6 b=(6a/5)--(1)
b:c=4:7 =b/c=4/7 =7b/4=7(6a/5)/4=42a/20=21a/10---(2)
using (1)and (2)
a:b:c =a:6a/5 :21a/10
(taking LCM of the fractions that is 10 )
=10a/10:12a/10:21a/10
=a:b:c=10:12:21
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