Compare 35/36 and 30/21
1st number: 35/36, 2nd number: 1 9/21
35/36 is smaller than 30/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 21 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
35/36 = 35 × 7/36 × 7 = 245/252 - Likewise, for the 2nd fraction, since 21 × 12 = 252,
30/21 = 30 × 12/21 × 12 = 360/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 245/252 < 360/252 or 35/36 < 30/21
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