Compare 75/64 and 16/49
1st number: 1 11/64, 2nd number: 16/49
75/64 is greater than 16/49
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,
75/64 = 75 × 49/64 × 49 = 3675/3136 - Likewise, for the 2nd fraction, since 49 × 64 = 3136,
16/49 = 16 × 64/49 × 64 = 1024/3136 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3675/3136 > 1024/3136 or 75/64 > 16/49
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