Compare 2/9 and 54/84
2/9 is smaller than 54/84
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
2/9 = 2 × 28/9 × 28 = 56/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
54/84 = 54 × 3/84 × 3 = 162/252 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 56/252 < 162/252 or 2/9 < 54/84
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