Compare 9/30 and 35/40, Which fraction is greater?

Compare 9/30 and 35/40

9/30 is smaller than 35/40

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 40 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 30 × 4 = 120,
9/30 = 9 × 4/30 × 4 = 36/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
35/40 = 35 × 3/40 × 3 = 105/120
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
36/120 < 105/120 or 9/30 < 35/40

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