Compare 20/15 and 45/6
1st number: 1 5/15, 2nd number: 7 3/6
20/15 is smaller than 45/6
Steps for comparing fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 6 is 30
Next, find the equivalent fraction of both fractional numbers with denominator 30 - For the 1st fraction, since 15 × 2 = 30,
20/15 = 20 × 2/15 × 2 = 40/30 - Likewise, for the 2nd fraction, since 6 × 5 = 30,
45/6 = 45 × 5/6 × 5 = 225/30 - Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
- 40/30 < 225/30 or 20/15 < 45/6
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