Compare 1/21 and 2/9
1/21 is smaller than 2/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 9 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 21 × 3 = 63,
1/21 = 1 × 3/21 × 3 = 3/63 - Likewise, for the 2nd fraction, since 9 × 7 = 63,
2/9 = 2 × 7/9 × 7 = 14/63 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3/63 < 14/63 or 1/21 < 2/9
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