Compare 35/75 and 56/49, Which fraction is greater?

Compare 35/75 and 56/49

1^st number: 35/75, 2^nd number: 1 7/49

35/75 is smaller than 56/49

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 49 is 3675

Next, find the equivalent fraction of both fractional numbers with denominator 3675
For the 1st fraction, since 75 × 49 = 3675,
35/75 = 35 × 49/75 × 49 = 1715/3675
Likewise, for the 2nd fraction, since 49 × 75 = 3675,
56/49 = 56 × 75/49 × 75 = 4200/3675
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
1715/3675 < 4200/3675 or 35/75 < 56/49

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