Compare 1/40 and 56/9, Which fraction is greater?

Compare 1/40 and 56/9

1^st number: 1/40, 2^nd number: 6 2/9

1/40 is smaller than 56/9

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

Next, find the equivalent fraction of both fractional numbers with denominator 360
For the 1st fraction, since 40 × 9 = 360,
1/40 = 1 × 9/40 × 9 = 9/360
Likewise, for the 2nd fraction, since 9 × 40 = 360,
56/9 = 56 × 40/9 × 40 = 2240/360
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
9/360 < 2240/360 or 1/40 < 56/9

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