Compare 2/98 and 49/56
2/98 is smaller than 49/56
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 56 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 98 × 4 = 392,
2/98 = 2 × 4/98 × 4 = 8/392 - Likewise, for the 2nd fraction, since 56 × 7 = 392,
49/56 = 49 × 7/56 × 7 = 343/392 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 8/392 < 343/392 or 2/98 < 49/56
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