Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 35/42 and 32/40

35/42 + 32/40 is 49/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 40 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 42 × 20 = 840,
    35/42 = 35 × 20/42 × 20 = 700/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    32/40 = 32 × 21/40 × 21 = 672/840
  4. Add the two like fractions:
    700/840 + 672/840 = 700 + 672/840 = 1372/840
  5. 1372/840 simplified gives 49/30
  6. So, 35/42 + 32/40 = 49/30
    In mixed form: 119/30

MathStep (Works offline)

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

Related:

© everydaycalculation.com