Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/9 and 20/45

1st number: 4 4/9, 2nd number: 20/45

40/9 + 20/45 is 44/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 45 is 45

    Next, find the equivalent fraction of both fractional numbers with denominator 45
  2. For the 1st fraction, since 9 × 5 = 45,
    40/9 = 40 × 5/9 × 5 = 200/45
  3. Likewise, for the 2nd fraction, since 45 × 1 = 45,
    20/45 = 20 × 1/45 × 1 = 20/45
  4. Add the two like fractions:
    200/45 + 20/45 = 200 + 20/45 = 220/45
  5. 220/45 simplified gives 44/9
  6. So, 40/9 + 20/45 = 44/9
    In mixed form: 48/9

MathStep (Works offline)

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

Related:

© everydaycalculation.com