Compare 2/75 and 30/7, Which fraction is greater?

Compare 2/75 and 30/7

1^st number: 2/75, 2^nd number: 4 2/7

2/75 is smaller than 30/7

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,
2/75 = 2 × 7/75 × 7 = 14/525
Likewise, for the 2nd fraction, since 7 × 75 = 525,
30/7 = 30 × 75/7 × 75 = 2250/525
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
14/525 < 2250/525 or 2/75 < 30/7

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