Answers

Compare 2/3 and 9/10

2/3 is smaller than 9/10

Steps for comparing fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 3 and 10 is 30
2. For the 1st fraction, since 3 × 10 = 30,
   2/3 = 2 × 10/3 × 10 = 20/30
3. Likewise, for the 2nd fraction, since 10 × 3 = 30,
   9/10 = 9 × 3/10 × 3 = 27/30
4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
5. 20/30 < 27/30 or 2/3 < 9/10

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