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Comparison of Rational Numbers

If a:b=112:...

Question

If $a : b = 1 \frac{1}{2} : 2 \frac{1}{4}$ and $b : c = 2 : 3 \frac{1}{2}$ then what is $a : b : c$ equal to ?

A

12 : 8 : 21

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B

8 : 21 : 12

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C

8 : 12 : 21

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D

21 : 8 : 12

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Solution

The correct option is C $8 : 12 : 21$
$a : b = 1 \frac{1}{2} : 2 \frac{1}{4} = \frac{3}{2} : \frac{9}{4} = 8 : 12$
$b : c = 2 : 3 \frac{1}{2} = 2 : 7 / 2 = 4 : 7 : 12 : 21$
$\Rightarrow a : b : c = 8 : 12 : 21$

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Question 12
To get the product 1, we should multiply $\frac{8}{21}$ by

(a) $\frac{8}{21}$

(b) $\frac{- 8}{21}$

(c) $\frac{21}{8}$

(d) $\frac{- 21}{8}$

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