Compare 2/20 and 8/21
2/20 is smaller than 8/21
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,
2/20 = 2 × 21/20 × 21 = 42/420 - Likewise, for the 2nd fraction, since 21 × 20 = 420,
8/21 = 8 × 20/21 × 20 = 160/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 42/420 < 160/420 or 2/20 < 8/21
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