Compare 30/9 and 56/15
1st number: 3 3/9, 2nd number: 3 11/15
30/9 is smaller than 56/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 15 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 9 × 5 = 45,
30/9 = 30 × 5/9 × 5 = 150/45 - Likewise, for the 2nd fraction, since 15 × 3 = 45,
56/15 = 56 × 3/15 × 3 = 168/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 150/45 < 168/45 or 30/9 < 56/15
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