Compare 40/9 and 30/6
1st number: 4 4/9, 2nd number: 5 0/6
40/9 is smaller than 30/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 6 is 18
Next, find the equivalent fraction of both fractional numbers with denominator 18 - For the 1st fraction, since 9 × 2 = 18,
40/9 = 40 × 2/9 × 2 = 80/18 - Likewise, for the 2nd fraction, since 6 × 3 = 18,
30/6 = 30 × 3/6 × 3 = 90/18 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/18 < 90/18 or 40/9 < 30/6
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