Compare 20/9 and 45/40
1st number: 2 2/9, 2nd number: 1 5/40
20/9 is greater than 45/40
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
20/9 = 20 × 40/9 × 40 = 800/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
45/40 = 45 × 9/40 × 9 = 405/360 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 800/360 > 405/360 or 20/9 > 45/40
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