Compare 35/75 and 10/7, Which fraction is greater?

Compare 35/75 and 10/7

1^st number: 35/75, 2^nd number: 1 3/7

35/75 is smaller than 10/7

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 7 is 525

Next, find the equivalent fraction of both fractional numbers with denominator 525
For the 1st fraction, since 75 × 7 = 525,
35/75 = 35 × 7/75 × 7 = 245/525
Likewise, for the 2nd fraction, since 7 × 75 = 525,
10/7 = 10 × 75/7 × 75 = 750/525
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
245/525 < 750/525 or 35/75 < 10/7

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