Compare 3/98 and 42/64
3/98 is smaller than 42/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 64 is 3136
Next, find the equivalent fraction of both fractional numbers with denominator 3136 - For the 1st fraction, since 98 × 32 = 3136,
3/98 = 3 × 32/98 × 32 = 96/3136 - Likewise, for the 2nd fraction, since 64 × 49 = 3136,
42/64 = 42 × 49/64 × 49 = 2058/3136 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 96/3136 < 2058/3136 or 3/98 < 42/64
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