Compare 28/9 and 27/21
1st number: 3 1/9, 2nd number: 1 6/21
28/9 is greater than 27/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 21 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 9 × 7 = 63,
28/9 = 28 × 7/9 × 7 = 196/63 - Likewise, for the 2nd fraction, since 21 × 3 = 63,
27/21 = 27 × 3/21 × 3 = 81/63 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 196/63 > 81/63 or 28/9 > 27/21
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