Compare 35/9 and 30/64
1st number: 3 8/9, 2nd number: 30/64
35/9 is greater than 30/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 64 is 576
Next, find the equivalent fraction of both fractional numbers with denominator 576 - For the 1st fraction, since 9 × 64 = 576,
35/9 = 35 × 64/9 × 64 = 2240/576 - Likewise, for the 2nd fraction, since 64 × 9 = 576,
30/64 = 30 × 9/64 × 9 = 270/576 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 2240/576 > 270/576 or 35/9 > 30/64
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