MCQ
If $\text{a}:\text{b}=1\frac{1}{2}:2\frac{1}{4}$ and $\text{b}:\text{c}=\frac{1}{7}:\frac{1}{4}$ what is $a : b : c$?
- A$12 : 8 : 21$
- B$8 : 21 : 12$
- ✓$8 : 12 : 21$
- D$21 : 8 : 12$
✓
Answer
Correct option: C.
$8 : 12 : 21$
$\text{A : B}=1\frac{1}{2}:2\frac{1}{4}=\frac{\frac{3}{2}}{\frac{4}{3}}=\frac{2}{3}=\frac{8}{12}$
$\text{B : C}=\frac{\frac{1}{7}}{\frac{1}{4}}=\frac{4}{7}=\frac{12}{21}$
$\text{A : B : C}=8:12:21$
$\text{B : C}=\frac{\frac{1}{7}}{\frac{1}{4}}=\frac{4}{7}=\frac{12}{21}$
$\text{A : B : C}=8:12:21$
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