Compare 4/14 and 25/40
4/14 is smaller than 25/40
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,
4/14 = 4 × 20/14 × 20 = 80/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
25/40 = 25 × 7/40 × 7 = 175/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/280 < 175/280 or 4/14 < 25/40
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