Compare 30/6 and 56/9
1st number: 5 0/6, 2nd number: 6 2/9
30/6 is smaller than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 9 is 18
Next, find the equivalent fraction of both fractional numbers with denominator 18 - For the 1st fraction, since 6 × 3 = 18,
30/6 = 30 × 3/6 × 3 = 90/18 - Likewise, for the 2nd fraction, since 9 × 2 = 18,
56/9 = 56 × 2/9 × 2 = 112/18 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/18 < 112/18 or 30/6 < 56/9
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