Compare 21/9 and 84/35
1st number: 2 3/9, 2nd number: 2 14/35
21/9 is smaller than 84/35
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,
21/9 = 21 × 35/9 × 35 = 735/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
84/35 = 84 × 9/35 × 9 = 756/315 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 735/315 < 756/315 or 21/9 < 84/35
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