Compare 21/27 and 56/9
1st number: 21/27, 2nd number: 6 2/9
21/27 is smaller than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 9 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 27 × 1 = 27,
21/27 = 21 × 1/27 × 1 = 21/27 - Likewise, for the 2nd fraction, since 9 × 3 = 27,
56/9 = 56 × 3/9 × 3 = 168/27 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 21/27 < 168/27 or 21/27 < 56/9
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