compare the ratios 5 : 6 and 7 : 8
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Express the given ratios as fraction
5 : 6 = 5/6 and 7 : 9 =7/9
Now find the L.C.M (least common multiple) of 6 and 9
The L.C.M (least common multiple) of 6 and 9 is 18.
Making the denominator of each fraction equal to 18, we have
5/6 = (5 ×3)/(6 ×3) = 15/18 and 7/9 = (7 ×2)/(9 ×2) = 14/18
Clearly, 15 > 14
Now, 15/18 > 14/18
Therefore, 5 : 6 > 7 : 9.
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