Compare 28/5 and 56/9
1st number: 5 3/5, 2nd number: 6 2/9
28/5 is smaller than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 9 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 5 × 9 = 45,
28/5 = 28 × 9/5 × 9 = 252/45 - Likewise, for the 2nd fraction, since 9 × 5 = 45,
56/9 = 56 × 5/9 × 5 = 280/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 252/45 < 280/45 or 28/5 < 56/9
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