Compare 10/84 and 21/35, Which fraction is greater?

Compare 10/84 and 21/35

10/84 is smaller than 21/35

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 84 × 5 = 420,
10/84 = 10 × 5/84 × 5 = 50/420
Likewise, for the 2nd fraction, since 35 × 12 = 420,
21/35 = 21 × 12/35 × 12 = 252/420
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
50/420 < 252/420 or 10/84 < 21/35

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