Compare 2/56 and 64/9
1st number: 2/56, 2nd number: 7 1/9
2/56 is smaller than 64/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 9 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 56 × 9 = 504,
2/56 = 2 × 9/56 × 9 = 18/504 - Likewise, for the 2nd fraction, since 9 × 56 = 504,
64/9 = 64 × 56/9 × 56 = 3584/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/504 < 3584/504 or 2/56 < 64/9
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