Compare 40/60 and 2/81
40/60 is greater than 2/81
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 81 is 1620
Next, find the equivalent fraction of both fractional numbers with denominator 1620 - For the 1st fraction, since 60 × 27 = 1620,
40/60 = 40 × 27/60 × 27 = 1080/1620 - Likewise, for the 2nd fraction, since 81 × 20 = 1620,
2/81 = 2 × 20/81 × 20 = 40/1620 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1080/1620 > 40/1620 or 40/60 > 2/81
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