Compare 2/27 and 40/50
2/27 is smaller than 40/50
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 50 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 27 × 50 = 1350,
2/27 = 2 × 50/27 × 50 = 100/1350 - Likewise, for the 2nd fraction, since 50 × 27 = 1350,
40/50 = 40 × 27/50 × 27 = 1080/1350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 100/1350 < 1080/1350 or 2/27 < 40/50
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