If a: b =1/4 : 3/8 and b: c=1/3 : 4/9 then a : c =

3 answers

a:b = 1/4 : 3/8 = 2/8 : 3/8 = 2:3
b:c = 1/3 : 4/9 = 3/9 : 4/9 = 3:4
a:b:c = 2:3:4 so a:c = 2:4 = 1:2
or,
a/c = a/b * b/c = (1/4)/(3/8) * (1/3)/(4/9) = 8/12 * 9/12 = 72/144 = 1/2
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