Compare 3/7 and 27/40
3/7 is smaller than 27/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 7 × 40 = 280,
3/7 = 3 × 40/7 × 40 = 120/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
27/40 = 27 × 7/40 × 7 = 189/280 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 120/280 < 189/280 or 3/7 < 27/40
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