Compare 60/24 and 64/9
1st number: 2 12/24, 2nd number: 7 1/9
60/24 is smaller than 64/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 24 × 3 = 72,
60/24 = 60 × 3/24 × 3 = 180/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
64/9 = 64 × 8/9 × 8 = 512/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/72 < 512/72 or 60/24 < 64/9
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