Compare 42/63 and 21/8
1st number: 42/63, 2nd number: 2 5/8
42/63 is smaller than 21/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 63 and 8 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 63 × 8 = 504,
42/63 = 42 × 8/63 × 8 = 336/504 - Likewise, for the 2nd fraction, since 8 × 63 = 504,
21/8 = 21 × 63/8 × 63 = 1323/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 336/504 < 1323/504 or 42/63 < 21/8
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