Compare 1/20 and 2/21
1/20 is smaller than 2/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 21 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
1/20 = 1 × 21/20 × 21 = 21/420 - Likewise, for the 2nd fraction, since 21 × 20 = 420,
2/21 = 2 × 20/21 × 20 = 40/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/420 < 40/420 or 1/20 < 2/21
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