Compare 10/24 and 56/9
1st number: 10/24, 2nd number: 6 2/9
10/24 is smaller than 56/9
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,
10/24 = 10 × 3/24 × 3 = 30/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
56/9 = 56 × 8/9 × 8 = 448/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/72 < 448/72 or 10/24 < 56/9
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