Compare 30/40 and 50/54
30/40 is smaller than 50/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 54 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
30/40 = 30 × 27/40 × 27 = 810/1080 - Likewise, for the 2nd fraction, since 54 × 20 = 1080,
50/54 = 50 × 20/54 × 20 = 1000/1080 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 810/1080 < 1000/1080 or 30/40 < 50/54
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