Compare 21/14 and 36/9
1st number: 1 7/14, 2nd number: 4 0/9
21/14 is smaller than 36/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 14 × 9 = 126,
21/14 = 21 × 9/14 × 9 = 189/126 - Likewise, for the 2nd fraction, since 9 × 14 = 126,
36/9 = 36 × 14/9 × 14 = 504/126 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 189/126 < 504/126 or 21/14 < 36/9
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