Answers

Compare 36/24 and 49/15

1^st number: 1 12/24, 2^nd number: 3 4/15

36/24 is smaller than 49/15

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 24 and 15 is 120
2. For the 1st fraction, since 24 × 5 = 120,
   36/24 = 36 × 5/24 × 5 = 180/120
3. Likewise, for the 2nd fraction, since 15 × 8 = 120,
   49/15 = 49 × 8/15 × 8 = 392/120
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 180/120 < 392/120 or 36/24 < 49/15

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