Compare 45/90 and 20/9
1st number: 45/90, 2nd number: 2 2/9
45/90 is smaller than 20/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 90 × 1 = 90,
45/90 = 45 × 1/90 × 1 = 45/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
20/9 = 20 × 10/9 × 10 = 200/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 45/90 < 200/90 or 45/90 < 20/9
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