Compare 36/35 and 30/27
1st number: 1 1/35, 2nd number: 1 3/27
36/35 is smaller than 30/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 27 is 945
Next, find the equivalent fraction of both fractional numbers with denominator 945 - For the 1st fraction, since 35 × 27 = 945,
36/35 = 36 × 27/35 × 27 = 972/945 - Likewise, for the 2nd fraction, since 27 × 35 = 945,
30/27 = 30 × 35/27 × 35 = 1050/945 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 972/945 < 1050/945 or 36/35 < 30/27
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