Compare 21/14 and 18/30
1st number: 1 7/14, 2nd number: 18/30
21/14 is greater than 18/30
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 14 × 15 = 210,
21/14 = 21 × 15/14 × 15 = 315/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
18/30 = 18 × 7/30 × 7 = 126/210 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 315/210 > 126/210 or 21/14 > 18/30
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