Compare 6/21 and 16/35
6/21 is smaller than 16/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 21 × 5 = 105,
6/21 = 6 × 5/21 × 5 = 30/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
16/35 = 16 × 3/35 × 3 = 48/105 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/105 < 48/105 or 6/21 < 16/35
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