Compare 9/4 and 30/64
1st number: 2 1/4, 2nd number: 30/64
9/4 is greater than 30/64
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 64 is 64
Next, find the equivalent fraction of both fractional numbers with denominator 64 - For the 1st fraction, since 4 × 16 = 64,
9/4 = 9 × 16/4 × 16 = 144/64 - Likewise, for the 2nd fraction, since 64 × 1 = 64,
30/64 = 30 × 1/64 × 1 = 30/64 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 144/64 > 30/64 or 9/4 > 30/64
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