Compare 30/50 and 20/9
1st number: 30/50, 2nd number: 2 2/9
30/50 is smaller than 20/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 9 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 50 × 9 = 450,
30/50 = 30 × 9/50 × 9 = 270/450 - Likewise, for the 2nd fraction, since 9 × 50 = 450,
20/9 = 20 × 50/9 × 50 = 1000/450 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 270/450 < 1000/450 or 30/50 < 20/9
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