Answers

Compare 3/75 and 40/30

1^st number: 3/75, 2^nd number: 1 10/30

3/75 is smaller than 40/30

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 30 is 150
2. For the 1st fraction, since 75 × 2 = 150,
   3/75 = 3 × 2/75 × 2 = 6/150
3. Likewise, for the 2nd fraction, since 30 × 5 = 150,
   40/30 = 40 × 5/30 × 5 = 200/150
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 6/150 < 200/150 or 3/75 < 40/30

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