Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 35/28 and 40/30

1st number: 1 7/28, 2nd number: 1 10/30

35/28 + 40/30 is 31/12.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 30 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 28 × 15 = 420,
    35/28 = 35 × 15/28 × 15 = 525/420
  3. Likewise, for the 2nd fraction, since 30 × 14 = 420,
    40/30 = 40 × 14/30 × 14 = 560/420
  4. Add the two like fractions:
    525/420 + 560/420 = 525 + 560/420 = 1085/420
  5. 1085/420 simplified gives 31/12
  6. So, 35/28 + 40/30 = 31/12
    In mixed form: 27/12

MathStep (Works offline)

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

Related:

© everydaycalculation.com