Compare 36/80 and 56/9, Which fraction is greater?

Compare 36/80 and 56/9

1^st number: 36/80, 2^nd number: 6 2/9

36/80 is smaller than 56/9

Find the least common denominator or LCM of the two denominators:
LCM of 80 and 9 is 720

Next, find the equivalent fraction of both fractional numbers with denominator 720
For the 1st fraction, since 80 × 9 = 720,
36/80 = 36 × 9/80 × 9 = 324/720
Likewise, for the 2nd fraction, since 9 × 80 = 720,
56/9 = 56 × 80/9 × 80 = 4480/720
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
324/720 < 4480/720 or 36/80 < 56/9

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