Compare 4/21 and 8/49
421 is greater than 849
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 21 × 7 = 147,
421 = 4 × 721 × 7 = 28147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
849 = 8 × 349 × 3 = 24147 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 28147 > 24147 or 421 > 849
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