Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/20 and 84/45

1st number: 1 10/20, 2nd number: 1 39/45

30/20 + 84/45 is 101/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 45 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 20 × 9 = 180,
    30/20 = 30 × 9/20 × 9 = 270/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    84/45 = 84 × 4/45 × 4 = 336/180
  4. Add the two like fractions:
    270/180 + 336/180 = 270 + 336/180 = 606/180
  5. 606/180 simplified gives 101/30
  6. So, 30/20 + 84/45 = 101/30
    In mixed form: 311/30

MathStep (Works offline)

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

Related:

© everydaycalculation.com