Compare 45/18 and 30/15
1st number: 2 9/18, 2nd number: 2 0/15
45/18 is greater than 30/15
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 15 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 18 × 5 = 90,
45/18 = 45 × 5/18 × 5 = 225/90 - Likewise, for the 2nd fraction, since 15 × 6 = 90,
30/15 = 30 × 6/15 × 6 = 180/90 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 225/90 > 180/90 or 45/18 > 30/15
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