Compare 2/98 and 42/96
2/98 is smaller than 42/96
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 96 is 4704
Next, find the equivalent fraction of both fractional numbers with denominator 4704 - For the 1st fraction, since 98 × 48 = 4704,
2/98 = 2 × 48/98 × 48 = 96/4704 - Likewise, for the 2nd fraction, since 96 × 49 = 4704,
42/96 = 42 × 49/96 × 49 = 2058/4704 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/4704 < 2058/4704 or 2/98 < 42/96
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