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Everydaycalculation.com » Answers » Compare fractions

Compare 7/5 and 21/7

1st number: 1 2/5, 2nd number: 3 0/7

7/5 is smaller than 21/7

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 7 is 35
  2. For the 1st fraction, since 5 × 7 = 35,
    7/5 = 7 × 7/5 × 7 = 49/35
  3. Likewise, for the 2nd fraction, since 7 × 5 = 35,
    21/7 = 21 × 5/7 × 5 = 105/35
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 49/35 < 105/35 or 7/5 < 21/7

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