Compare 40/75 and 60/56, Which fraction is greater?

Compare 40/75 and 60/56

1^st number: 40/75, 2^nd number: 1 4/56

40/75 is smaller than 60/56

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 56 is 4200

Next, find the equivalent fraction of both fractional numbers with denominator 4200
For the 1st fraction, since 75 × 56 = 4200,
40/75 = 40 × 56/75 × 56 = 2240/4200
Likewise, for the 2nd fraction, since 56 × 75 = 4200,
60/56 = 60 × 75/56 × 75 = 4500/4200
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
2240/4200 < 4500/4200 or 40/75 < 60/56

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