Compare 21/9 and 35/14
1st number: 2 3/9, 2nd number: 2 7/14
21/9 is smaller than 35/14
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
21/9 = 21 × 14/9 × 14 = 294/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
35/14 = 35 × 9/14 × 9 = 315/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 294/126 < 315/126 or 21/9 < 35/14
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