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