Compare 6/9 and 49/54
6/9 is smaller than 49/54
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 54 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 9 × 6 = 54,
6/9 = 6 × 6/9 × 6 = 36/54 - Likewise, for the 2nd fraction, since 54 × 1 = 54,
49/54 = 49 × 1/54 × 1 = 49/54 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 36/54 < 49/54 or 6/9 < 49/54
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