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Everydaycalculation.com » Answers » Compare fractions

Compare 2/5 and 8/7

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

2/5 is smaller than 8/7

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,
    2/5 = 2 × 7/5 × 7 = 14/35
  3. Likewise, for the 2nd fraction, since 7 × 5 = 35,
    8/7 = 8 × 5/7 × 5 = 40/35
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 14/35 < 40/35 or 2/5 < 8/7

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