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Compare 10/75 and 2/8

10/75 is smaller than 2/8

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 8 is 600
  2. For the 1st fraction, since 75 × 8 = 600,
    10/75 = 10 × 8/75 × 8 = 80/600
  3. Likewise, for the 2nd fraction, since 8 × 75 = 600,
    2/8 = 2 × 75/8 × 75 = 150/600
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 80/600 < 150/600 or 10/75 < 2/8

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