Compare 2/45 and 20/21
2/45 is smaller than 20/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
2/45 = 2 × 7/45 × 7 = 14/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
20/21 = 20 × 15/21 × 15 = 300/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 14/315 < 300/315 or 2/45 < 20/21
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