Compare 3/14 and 30/40
3/14 is smaller than 30/40
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,
3/14 = 3 × 20/14 × 20 = 60/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 60/280 < 210/280 or 3/14 < 30/40
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