Compare 30/21 and 21/7
1st number: 1 9/21, 2nd number: 3 0/7
30/21 is smaller than 21/7
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 7 is 21
Next, find the equivalent fraction of both fractional numbers with denominator 21 - For the 1st fraction, since 21 × 1 = 21,
30/21 = 30 × 1/21 × 1 = 30/21 - Likewise, for the 2nd fraction, since 7 × 3 = 21,
21/7 = 21 × 3/7 × 3 = 63/21 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 30/21 < 63/21 or 30/21 < 21/7
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