Compare 32/3 and 49/27
1st number: 10 2/3, 2nd number: 1 22/27
32/3 is greater than 49/27
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 27 is 27
Next, find the equivalent fraction of both fractional numbers with denominator 27 - For the 1st fraction, since 3 × 9 = 27,
32/3 = 32 × 9/3 × 9 = 288/27 - Likewise, for the 2nd fraction, since 27 × 1 = 27,
49/27 = 49 × 1/27 × 1 = 49/27 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 288/27 > 49/27 or 32/3 > 49/27
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