Compare 45/64 and 48/49
45/64 is smaller than 48/49
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,
45/64 = 45 × 49/64 × 49 = 2205/3136 - Likewise, for the 2nd fraction, since 49 × 64 = 3136,
48/49 = 48 × 64/49 × 64 = 3072/3136 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2205/3136 < 3072/3136 or 45/64 < 48/49
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