a:b is equal to 2:5 and b:c is 3:10. how do you find a:c in its simplest form.Thankss?
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answers:
Krishnamurthy say: a : b = 2 : 5 = 6 : 15
b : c = 3 : 10 = 15 : 50
a : c = 3 : 25
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david say: a/b = 2/5
b/c = 3/10 ... find a/c
b = 5a/2
b = 3c/10
(5/2)a = (3/10)c
a/c = (3/10) / (5/2)
a/c = (3/10) X (2/5) = 6/50 .. reduce
a/c = 3/25 ... basically the same, just fewer steps
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Como say: a _______b_______c
6_______15______50
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njuyi say: bvhhzvjz
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wfcxy say: jxlfoepo
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llaffer say: Set your ratios into fractions and equations so:
a/b = 2/5 and b/c = 3/10
Solve both for b:
2b = 5a and 10b = 3c
b = (5/2)a and b = (3/10)c
Now that both right-sides are equal to b, both are equal to each other:
(5/2)a = (3/10)c
Now solve for a/c. I'll start by multiplying both sides by 2/5:
a = (3/10)(2/5)c
a = (3/5)(1/5)c
a = (3/25)c
Now divide both sides by c:
a/c = 3/25
So the ratio
a:c = 3:25
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