Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Compare fractions

Compare 9/40 and 20/45

9/40 is smaller than 20/45

Steps for comparing fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 45 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 40 × 9 = 360,
    9/40 = 9 × 9/40 × 9 = 81/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    20/45 = 20 × 8/45 × 8 = 160/360
  4. Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
  5. 81/360 < 160/360 or 9/40 < 20/45

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad

Related:

© everydaycalculation.com