Compare 1/2 and 40/9
1st number: 1/2, 2nd number: 4 4/9
12 is smaller than 409
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 9 is 18
Next, find the equivalent fraction of both fractional numbers with denominator 18 - For the 1st fraction, since 2 × 9 = 18,
12 = 1 × 92 × 9 = 918 - Likewise, for the 2nd fraction, since 9 × 2 = 18,
409 = 40 × 29 × 2 = 8018 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 918 < 8018 or 12 < 409
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