Compare 45/36 and 81/49
1st number: 1 9/36, 2nd number: 1 32/49
45/36 is smaller than 81/49
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 49 is 1764
Next, find the equivalent fraction of both fractional numbers with denominator 1764 - For the 1st fraction, since 36 × 49 = 1764,
45/36 = 45 × 49/36 × 49 = 2205/1764 - Likewise, for the 2nd fraction, since 49 × 36 = 1764,
81/49 = 81 × 36/49 × 36 = 2916/1764 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2205/1764 < 2916/1764 or 45/36 < 81/49
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