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Compare 10/30 and 10/8

1st number: 10/30, 2nd number: 1 2/8

10/30 is smaller than 10/8

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 8 is 120
  2. For the 1st fraction, since 30 × 4 = 120,
    10/30 = 10 × 4/30 × 4 = 40/120
  3. Likewise, for the 2nd fraction, since 8 × 15 = 120,
    10/8 = 10 × 15/8 × 15 = 150/120
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 40/120 < 150/120 or 10/30 < 10/8

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