Compare 12/30 and 56/9
1st number: 12/30, 2nd number: 6 2/9
12/30 is smaller than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
12/30 = 12 × 3/30 × 3 = 36/90 - 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
- 36/90 < 560/90 or 12/30 < 56/9
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