Compare 30/14 and 21/40
1st number: 2 2/14, 2nd number: 21/40
30/14 is greater than 21/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
30/14 = 30 × 20/14 × 20 = 600/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
21/40 = 21 × 7/40 × 7 = 147/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 600/280 > 147/280 or 30/14 > 21/40
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