Compare 40/9 and 42/18
1st number: 4 4/9, 2nd number: 2 6/18
40/9 is greater than 42/18
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 18 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 18 × 1 = 18,
42/18 = 42 × 1/18 × 1 = 42/18 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 80/18 > 42/18 or 40/9 > 42/18
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