Compare 49/6 and 40/9
1st number: 8 1/6, 2nd number: 4 4/9
49/6 is greater than 40/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 9 is 18
Next, find the equivalent fraction of both fractional numbers with denominator 18 - For the 1st fraction, since 6 × 3 = 18,
49/6 = 49 × 3/6 × 3 = 147/18 - Likewise, for the 2nd fraction, since 9 × 2 = 18,
40/9 = 40 × 2/9 × 2 = 80/18 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 147/18 > 80/18 or 49/6 > 40/9
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