Compare 12/30 and 40/8, Which fraction is greater?

Compare 12/30 and 40/8

1^st number: 12/30, 2^nd number: 5 0/8

12/30 is smaller than 40/8

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 8 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 30 × 4 = 120,
12/30 = 12 × 4/30 × 4 = 48/120
Likewise, for the 2nd fraction, since 8 × 15 = 120,
40/8 = 40 × 15/8 × 15 = 600/120
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
48/120 < 600/120 or 12/30 < 40/8

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