Compare 45/15 and 20/9
1st number: 3 0/15, 2nd number: 2 2/9
45/15 is greater than 20/9
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 9 is 45
Next, find the equivalent fraction of both fractional numbers with denominator 45 - For the 1st fraction, since 15 × 3 = 45,
45/15 = 45 × 3/15 × 3 = 135/45 - Likewise, for the 2nd fraction, since 9 × 5 = 45,
20/9 = 20 × 5/9 × 5 = 100/45 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 135/45 > 100/45 or 45/15 > 20/9
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