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Answers.everydaycalculation.com » Compare fractions

Compare 30/35 and 42/45

30/35 is smaller than 42/45

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 45 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 35 × 9 = 315,
    30/35 = 30 × 9/35 × 9 = 270/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    42/45 = 42 × 7/45 × 7 = 294/315
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 270/315 < 294/315 or 30/35 < 42/45

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