Compare 84/10 and 40/3, Which fraction is greater?

Compare 84/10 and 40/3

1^st number: 8 4/10, 2^nd number: 13 1/3

84/10 is smaller than 40/3

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 3 is 30

Next, find the equivalent fraction of both fractional numbers with denominator 30
For the 1st fraction, since 10 × 3 = 30,
84/10 = 84 × 3/10 × 3 = 252/30
Likewise, for the 2nd fraction, since 3 × 10 = 30,
40/3 = 40 × 10/3 × 10 = 400/30
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
252/30 < 400/30 or 84/10 < 40/3

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