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If a/b=4/3
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01 Dec 2021, 02:36
01 Dec 2021, 02:36
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90% (00:23) correct
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This question is part of the GRE - Skill Builder Project for a Q170
If \(\frac{a}{b} =\frac{ 4}{3} and \frac{a}{c} = \frac{3}{2}\), what is \(\frac{c}{b}\)?
Show: ::
8/9
Re: If a/b=4/3
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01 Dec 2021, 07:59
01 Dec 2021, 07:59
1
\(\frac{a}{b} =\frac{ 4}{3} and \frac{a}{c} = \frac{3}{2}\)
\(a = \frac{4}{3} b\) & \(a = \frac{3}{2} c\)
Compare both the values of \(a\)
\(\frac{4}{3} b = \frac{3}{2} c\)
\(\frac{c}{b} = \frac{8}{9}\)
\(a = \frac{4}{3} b\) & \(a = \frac{3}{2} c\)
Compare both the values of \(a\)
\(\frac{4}{3} b = \frac{3}{2} c\)
\(\frac{c}{b} = \frac{8}{9}\)
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If a/b=4/3
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01 Dec 2021, 08:02
01 Dec 2021, 08:02
1
Carcass wrote:
This question is part of the GRE - Skill Builder Project for a Q170
If \(\frac{a}{b} =\frac{ 4}{3} and \frac{a}{c} = \frac{3}{2}\), what is \(\frac{c}{b}\)?
Show: ::
8/9
If \(\frac{a}{c} = \frac{3}{2}\), then we can also conclude that their reciprocals are equal.
In other words: \(\frac{c}{a} = \frac{2}{3}\)
At this point we have two equations: \(\frac{a}{b} = \frac{4}{3}\) and \(\frac{c}{a} = \frac{2}{3}\)
When we multiply the two equations we get: \((\frac{a}{b})(\frac{c}{a}) = (\frac{4}{3})(\frac{2}{3})\)
Simplify: \(\frac{ac}{ba} = \frac{8}{9}\)
Simplify: \(\frac{c}{b} = \frac{8}{9}\)
Answer: \(\frac{8}{9}\)
