Compare 30/98 and 20/64
30/98 is smaller than 20/64
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,
30/98 = 30 × 32/98 × 32 = 960/3136 - Likewise, for the 2nd fraction, since 64 × 49 = 3136,
20/64 = 20 × 49/64 × 49 = 980/3136 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 960/3136 < 980/3136 or 30/98 < 20/64
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