Compare 30/64 and 56/9
1st number: 30/64, 2nd number: 6 2/9
30/64 is smaller than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 64 and 9 is 576
Next, find the equivalent fraction of both fractional numbers with denominator 576 - For the 1st fraction, since 64 × 9 = 576,
30/64 = 30 × 9/64 × 9 = 270/576 - Likewise, for the 2nd fraction, since 9 × 64 = 576,
56/9 = 56 × 64/9 × 64 = 3584/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/576 < 3584/576 or 30/64 < 56/9
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