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Compare 1/30 and 1/7

1/30 is smaller than 1/7

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 7 is 210
  2. For the 1st fraction, since 30 × 7 = 210,
    1/30 = 1 × 7/30 × 7 = 7/210
  3. Likewise, for the 2nd fraction, since 7 × 30 = 210,
    1/7 = 1 × 30/7 × 30 = 30/210
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 7/210 < 30/210 or 1/30 < 1/7

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