Compare 10/24 and 6/9
1024 is smaller than 69
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,
1024 = 10 × 324 × 3 = 3072 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
69 = 6 × 89 × 8 = 4872 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 3072 < 4872 or 1024 < 69
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