Compare 56/9 and 84/8
1st number: 6 2/9, 2nd number: 10 4/8
56/9 is smaller than 84/8
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 8 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 9 × 8 = 72,
56/9 = 56 × 8/9 × 8 = 448/72 - Likewise, for the 2nd fraction, since 8 × 9 = 72,
84/8 = 84 × 9/8 × 9 = 756/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 448/72 < 756/72 or 56/9 < 84/8
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