Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/35 and 12/45

27/35 + 12/45 is 109/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 45 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 35 × 9 = 315,
    27/35 = 27 × 9/35 × 9 = 243/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    12/45 = 12 × 7/45 × 7 = 84/315
  4. Add the two like fractions:
    243/315 + 84/315 = 243 + 84/315 = 327/315
  5. 327/315 simplified gives 109/105
  6. So, 27/35 + 12/45 = 109/105
    In mixed form: 14/105

MathStep (Works offline)

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

Related:

© everydaycalculation.com