Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 20/30 and 35/42

20/30 + 35/42 is 3/2.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 42 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 30 × 7 = 210,
    20/30 = 20 × 7/30 × 7 = 140/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    35/42 = 35 × 5/42 × 5 = 175/210
  4. Add the two like fractions:
    140/210 + 175/210 = 140 + 175/210 = 315/210
  5. 315/210 simplified gives 3/2
  6. So, 20/30 + 35/42 = 3/2
    In mixed form: 11/2

MathStep (Works offline)

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

Related:

© everydaycalculation.com