Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 35/21 and 20/45

1st number: 1 14/21, 2nd number: 20/45

35/21 + 20/45 is 19/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 45 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 21 × 15 = 315,
    35/21 = 35 × 15/21 × 15 = 525/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    20/45 = 20 × 7/45 × 7 = 140/315
  4. Add the two like fractions:
    525/315 + 140/315 = 525 + 140/315 = 665/315
  5. 665/315 simplified gives 19/9
  6. So, 35/21 + 20/45 = 19/9
    In mixed form: 21/9

MathStep (Works offline)

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

Related:

© everydaycalculation.com