Compare 2/63 and 21/60
2/63 is smaller than 21/60
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 60 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 63 × 20 = 1260,
2/63 = 2 × 20/63 × 20 = 40/1260 - Likewise, for the 2nd fraction, since 60 × 21 = 1260,
21/60 = 21 × 21/60 × 21 = 441/1260 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/1260 < 441/1260 or 2/63 < 21/60
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