Compare 30/21 and 81/30
1st number: 1 9/21, 2nd number: 2 21/30
30/21 is smaller than 81/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 21 × 10 = 210,
30/21 = 30 × 10/21 × 10 = 300/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
81/30 = 81 × 7/30 × 7 = 567/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 300/210 < 567/210 or 30/21 < 81/30
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