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(i) 3 : 4 (or) 9 : 16
Writing the given ratios as fractions, we have
Now L.C.M of 4 and is is 16
Making the denominaator of each fraction
equal to 16, we have
Clearly 12 >9
(ii) 15 : 16 or 24 : 24
Writing the given ratio as fractions, we have
L.C.M of 25 & 16 is = 400
Making the denominator of each fraction equal to 400, we have
clearly 384 > 375
(iii) 4 :7 or 5 : 8
Now, LCM of 7 and 8 is 56.
Clearly 35 > 32
(iv) 9 : 20 or 8 : 13.
Now, LCM of 20 and 13 is 260
Clearly 160 > 117
(v) 1 : 2 or 13 : 27
Now, LCM of 2 and 27 is 54
i.e. have.
∴ 3 : 4 is an equivalent ratio of 6 : 15
So, 12 : 16 is an equivalent ratios of 6:8. Hence, 3 : 4 and 12 : 16 are equivalent ratios of 6 : 8.
In order to find the first missing number, we consider the denominator 20 and 35
LCM of 20 and 5 is 20.
We have 20 ÷ 4 = 4.
So, we divide the Nr or of 12/20 by 4 to get
Hence, first missing number is 3, consequently the second ratio is 3/5
To find the second missing number, we consider
We have 9 ÷ 3 = 3, so we multiply the nr ∆ or of 3/5 by 3 to get
Hence, the second missing number is 15.
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Chapter 9: Ratio, Proportion and Unitary Method...