Compare 16/35 and 49/9
1st number: 16/35, 2nd number: 5 4/9
16/35 is smaller than 49/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
16/35 = 16 × 9/35 × 9 = 144/315 - Likewise, for the 2nd fraction, since 9 × 35 = 315,
49/9 = 49 × 35/9 × 35 = 1715/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/315 < 1715/315 or 16/35 < 49/9
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