Compare 9/21 and 56/9
1st number: 9/21, 2nd number: 6 2/9
9/21 is smaller than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 9 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 21 × 3 = 63,
9/21 = 9 × 3/21 × 3 = 27/63 - Likewise, for the 2nd fraction, since 9 × 7 = 63,
56/9 = 56 × 7/9 × 7 = 392/63 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 27/63 < 392/63 or 9/21 < 56/9
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