Compare 30/56 and 10/9
1st number: 30/56, 2nd number: 1 1/9
30/56 is smaller than 10/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 9 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 56 × 9 = 504,
30/56 = 30 × 9/56 × 9 = 270/504 - Likewise, for the 2nd fraction, since 9 × 56 = 504,
10/9 = 10 × 56/9 × 56 = 560/504 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/504 < 560/504 or 30/56 < 10/9
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