2 Answers

Spinningarrow · Answer 1 · 2020-01-12T16:22:07+0000

Option A

Answer:

$(36)/(54) \text { and } (6)/(9)$ are proportional.

Solution:

If two fractions are equal, than it is said to be in proportion.

Case 1:

Consider option A

Given fractions are
$(36)/(54) \text { and } (6)/(9)$

$(36)/(54)=(9 * 2 * 2)/(9 * 2 * 3)=(2)/(3) \text { and } (6)/(9)=(2 * 3)/(3 * 3)=(2)/(3)$

Hence both the fractions are equal. So they are propotional.

Case 2:

Consider option 2

Given fractions
$(6)/(7) \text { and } (16)/(21)$ cannot be simplified further. Also both the fractions are not equal. So they are not propotional.

Case 3:

Consider option 3

Given fractions are
$(21)/(36) \text { and } (21)/(42)$

$(21)/(36)=(7 * 3)/(6 * 6)=(7)/(12) \text { and } (21)/(42)=(7 * 3)/(6 * 7)=(1)/(2)$

Hence
$(7)/(12) \text { and } (1)/(2)$ are not equal. Hence they are not propotional.

Case 4:

Consider option 4

Given fractions are
$(14)/(35) \text { and } (21)/(42)$

$(14)/(35)=(7 * 2)/(7 * 5)=(2)/(5) \text { and } (21)/(42)=(7 * 3)/(7 * 6)=(1)/(2)$

Hence
$(2)/(5) \text { and } (1)/(2)$ are not equal. Hence they are not propotional.

The answer for the given question is option A

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