Compare 75/40 and 56/49, Which fraction is greater?

Compare 75/40 and 56/49

1^st number: 1 35/40, 2^nd number: 1 7/49

75/40 is greater than 56/49

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 49 is 1960

Next, find the equivalent fraction of both fractional numbers with denominator 1960
For the 1st fraction, since 40 × 49 = 1960,
75/40 = 75 × 49/40 × 49 = 3675/1960
Likewise, for the 2nd fraction, since 49 × 40 = 1960,
56/49 = 56 × 40/49 × 40 = 2240/1960
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
3675/1960 > 2240/1960 or 75/40 > 56/49

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