Compare 3/20 and 14/84
3/20 is smaller than 14/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
3/20 = 3 × 21/20 × 21 = 63/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
14/84 = 14 × 5/84 × 5 = 70/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 63/420 < 70/420 or 3/20 < 14/84
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