Compare 8/9 and 36/35
1st number: 8/9, 2nd number: 1 1/35
8/9 is smaller than 36/35
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 9 × 35 = 315,
8/9 = 8 × 35/9 × 35 = 280/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
36/35 = 36 × 9/35 × 9 = 324/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 280/315 < 324/315 or 8/9 < 36/35
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