Compare 30/20 and 21/42
1st number: 1 10/20, 2nd number: 21/42
30/20 is greater than 21/42
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
30/20 = 30 × 21/20 × 21 = 630/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
21/42 = 21 × 10/42 × 10 = 210/420 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 630/420 > 210/420 or 30/20 > 21/42
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