Compare 35/36 and 30/7
1st number: 35/36, 2nd number: 4 2/7
35/36 is smaller than 30/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 7 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 7 × 36 = 252,
30/7 = 30 × 36/7 × 36 = 1080/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 245/252 < 1080/252 or 35/36 < 30/7
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