Compare 10/9 and 40/28, Which fraction is greater?

Compare 10/9 and 40/28

1^st number: 1 1/9, 2^nd number: 1 12/28

10/9 is smaller than 40/28

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 28 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 9 × 28 = 252,
10/9 = 10 × 28/9 × 28 = 280/252
Likewise, for the 2nd fraction, since 28 × 9 = 252,
40/28 = 40 × 9/28 × 9 = 360/252
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
280/252 < 360/252 or 10/9 < 40/28

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