Question
If $A : B = 5 : 8$ and $B : C = 16 : 25,$ find $A : C.$
✓
Answer
$A : B = 5 : 8, B : C = 16 : 25$ Or
$\frac{\text{A}}{\text{B}}=\frac{5}{8},\frac{\text{B}}{\text{C}}=\frac{16}{25}$
Multiplying, We get: $\frac{\text{A}}{\text{B}}\times\frac{\text{B}}{\text{C}}=\frac{5}{8}\times\frac{16}{25}$
$\frac{\text{A}}{\text{C}}=\frac{2}{5}$
$\therefore\text{A}:\text{C}=2:5$
$\frac{\text{A}}{\text{B}}=\frac{5}{8},\frac{\text{B}}{\text{C}}=\frac{16}{25}$
Multiplying, We get: $\frac{\text{A}}{\text{B}}\times\frac{\text{B}}{\text{C}}=\frac{5}{8}\times\frac{16}{25}$
$\frac{\text{A}}{\text{C}}=\frac{2}{5}$
$\therefore\text{A}:\text{C}=2:5$
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