Compare 8/49 and 30/64
8/49 is smaller than 30/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 64 is 3136
Next, find the equivalent fraction of both fractional numbers with denominator 3136 - For the 1st fraction, since 49 × 64 = 3136,
8/49 = 8 × 64/49 × 64 = 512/3136 - Likewise, for the 2nd fraction, since 64 × 49 = 3136,
30/64 = 30 × 49/64 × 49 = 1470/3136 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 512/3136 < 1470/3136 or 8/49 < 30/64
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