Compare 2/30 and 16/84
2/30 is smaller than 16/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
2/30 = 2 × 14/30 × 14 = 28/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
16/84 = 16 × 5/84 × 5 = 80/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28/420 < 80/420 or 2/30 < 16/84
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