Compare 30/75 and 40/10, Which fraction is greater?

Compare 30/75 and 40/10

1^st number: 30/75, 2^nd number: 4 0/10

30/75 is smaller than 40/10

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 10 is 150

Next, find the equivalent fraction of both fractional numbers with denominator 150
For the 1st fraction, since 75 × 2 = 150,
30/75 = 30 × 2/75 × 2 = 60/150
Likewise, for the 2nd fraction, since 10 × 15 = 150,
40/10 = 40 × 15/10 × 15 = 600/150
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
60/150 < 600/150 or 30/75 < 40/10

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