Compare 30/14 and 40/21
1st number: 2 2/14, 2nd number: 1 19/21
30/14 is greater than 40/21
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
30/14 = 30 × 3/14 × 3 = 90/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
40/21 = 40 × 2/21 × 2 = 80/42 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 90/42 > 80/42 or 30/14 > 40/21
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