Compare 7/64 and 1/49
7/64 is greater than 1/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 49 is 3136
Next, find the equivalent fraction of both fractional numbers with denominator 3136 - For the 1st fraction, since 64 × 49 = 3136,
7/64 = 7 × 49/64 × 49 = 343/3136 - Likewise, for the 2nd fraction, since 49 × 64 = 3136,
1/49 = 1 × 64/49 × 64 = 64/3136 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 343/3136 > 64/3136 or 7/64 > 1/49
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