Compare 75/81 and 49/36
1st number: 75/81, 2nd number: 1 13/36
75/81 is smaller than 49/36
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 36 is 324
Next, find the equivalent fraction of both fractional numbers with denominator 324 - For the 1st fraction, since 81 × 4 = 324,
75/81 = 75 × 4/81 × 4 = 300/324 - Likewise, for the 2nd fraction, since 36 × 9 = 324,
49/36 = 49 × 9/36 × 9 = 441/324 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/324 < 441/324 or 75/81 < 49/36
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