Compare 30/72 and 56/9
1st number: 30/72, 2nd number: 6 2/9
30/72 is smaller than 56/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 72 × 1 = 72,
30/72 = 30 × 1/72 × 1 = 30/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
56/9 = 56 × 8/9 × 8 = 448/72 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/72 < 448/72 or 30/72 < 56/9
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