Compare 27/10 and 56/9
1st number: 2 7/10, 2nd number: 6 2/9
27/10 is smaller than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 10 × 9 = 90,
27/10 = 27 × 9/10 × 9 = 243/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
56/9 = 56 × 10/9 × 10 = 560/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 243/90 < 560/90 or 27/10 < 56/9
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