Compare 30/4 and 64/9
1st number: 7 2/4, 2nd number: 7 1/9
30/4 is greater than 64/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 4 × 9 = 36,
30/4 = 30 × 9/4 × 9 = 270/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
64/9 = 64 × 4/9 × 4 = 256/36 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/36 > 256/36 or 30/4 > 64/9
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