Question
If $A: B=\frac{1}{4}: \frac{1}{5}$ and $B: C=\frac{1}{7}: \frac{1}{6}$, find $A: B: C$.
✓
Answer
$A : B =\frac{1}{4}: \frac{1}{5}$
$
\text { B : C }=\frac{1}{7}: \frac{1}{6}$
LCM of B's terms 4 and $6=12$
Making terms of B's; as 12
$
\begin{aligned}
& \frac{A}{B}=\frac{5 \times 3}{4 \times 3}=\frac{15}{12}=15: 12 \\
& \frac{B}{C}=\frac{6 \times 2}{7 \times 2}=\frac{12}{14}=12: 14 \\
& \therefore A: B: C=15: 12: 14 .
\end{aligned}
$
$
\text { B : C }=\frac{1}{7}: \frac{1}{6}$
LCM of B's terms 4 and $6=12$
Making terms of B's; as 12
$
\begin{aligned}
& \frac{A}{B}=\frac{5 \times 3}{4 \times 3}=\frac{15}{12}=15: 12 \\
& \frac{B}{C}=\frac{6 \times 2}{7 \times 2}=\frac{12}{14}=12: 14 \\
& \therefore A: B: C=15: 12: 14 .
\end{aligned}
$
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