Compare 21/42 and 2/49
21/42 is greater than 2/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
21/42 = 21 × 7/42 × 7 = 147/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
2/49 = 2 × 6/49 × 6 = 12/294 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/294 > 12/294 or 21/42 > 2/49
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