If \(\frac{1}{a}:\frac{1}{b}:\frac{1}{c}=3:4:2\), then determine \(a:b:c\).
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → \(4:3:6\)
If \(\frac{1}{a}\) is in proportion to 3, then \(a\) is in proportion to \(\frac{1}{3}\): taking reciprocals turns each term over, so \(a:b:c=\frac{1}{3}:\frac{1}{4}:\frac{1}{2}\).
Multiply every term by 12, the LCM of 3, 4 and 2, to clear the fractions
\(\displaystyle a:b:c=\frac{12}{3}:\frac{12}{4}:\frac{12}{2}=4:3:6\)