Compare 6/9 and 30/40, Which fraction is greater?

Compare 6/9 and 30/40

6/9 is smaller than 30/40

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360

Next, find the equivalent fraction of both fractional numbers with denominator 360
For the 1st fraction, since 9 × 40 = 360,
6/9 = 6 × 40/9 × 40 = 240/360
Likewise, for the 2nd fraction, since 40 × 9 = 360,
30/40 = 30 × 9/40 × 9 = 270/360
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
240/360 < 270/360 or 6/9 < 30/40

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