Compare 40/9 and 49/20
1st number: 4 4/9, 2nd number: 2 9/20
40/9 is greater than 49/20
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 20 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 9 × 20 = 180,
40/9 = 40 × 20/9 × 20 = 800/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
49/20 = 49 × 9/20 × 9 = 441/180 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 800/180 > 441/180 or 40/9 > 49/20
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