Compare 2/12 and 48/49
2/12 is smaller than 48/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 12 × 49 = 588,
2/12 = 2 × 49/12 × 49 = 98/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
48/49 = 48 × 12/49 × 12 = 576/588 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 98/588 < 576/588 or 2/12 < 48/49
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