If A : B = 5 : 6, and B : C = 4 : 7, find A : B : C.

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$\text{A : B}=5:6$ and $\text{B}:\text{C}=4:7$
$\frac{\text{A}}{\text{B}}=\frac{5}{6},\frac{\text{B}}{\text{C}}=\frac{4}{7}$
LCM of 6, 4 = 12
$\therefore\frac{\text{A}}{\text{B}}=\frac{5}{6}=\frac{5\times2}{6\times2}=\frac{10}{12}$ or
$\text{A : B}=10:12$
And $\frac{\text{B}}{\text{C}}=\frac{4}{7}=\frac{4\times3}{7\times3}=\frac{12}{21}$ or
$\text{B : C}=12 : 21$
$\therefore\text{A : B : C}=10:12 : 21$

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