Compare 9/30 and 81/4
1st number: 9/30, 2nd number: 20 1/4
9/30 is smaller than 81/4
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 4 is 60
Next, find the equivalent fraction of both fractional numbers with denominator 60 - For the 1st fraction, since 30 × 2 = 60,
9/30 = 9 × 2/30 × 2 = 18/60 - Likewise, for the 2nd fraction, since 4 × 15 = 60,
81/4 = 81 × 15/4 × 15 = 1215/60 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 18/60 < 1215/60 or 9/30 < 81/4
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