Compare 2/63 and 21/24
2/63 is smaller than 21/24
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 24 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 63 × 8 = 504,
2/63 = 2 × 8/63 × 8 = 16/504 - Likewise, for the 2nd fraction, since 24 × 21 = 504,
21/24 = 21 × 21/24 × 21 = 441/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 16/504 < 441/504 or 2/63 < 21/24
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