Compare 20/30 and 49/54
20/30 is smaller than 49/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 30 × 9 = 270,
20/30 = 20 × 9/30 × 9 = 180/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
49/54 = 49 × 5/54 × 5 = 245/270 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 180/270 < 245/270 or 20/30 < 49/54
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