Compare 49/50 and 40/54
49/50 is greater than 40/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 54 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 50 × 27 = 1350,
49/50 = 49 × 27/50 × 27 = 1323/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
40/54 = 40 × 25/54 × 25 = 1000/1350 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 1323/1350 > 1000/1350 or 49/50 > 40/54
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