Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/45 and 4/7

27/45 + 4/7 is 41/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 7 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 45 × 7 = 315,
    27/45 = 27 × 7/45 × 7 = 189/315
  3. Likewise, for the 2nd fraction, since 7 × 45 = 315,
    4/7 = 4 × 45/7 × 45 = 180/315
  4. Add the two like fractions:
    189/315 + 180/315 = 189 + 180/315 = 369/315
  5. 369/315 simplified gives 41/35
  6. So, 27/45 + 4/7 = 41/35
    In mixed form: 16/35

MathStep (Works offline)

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

Related:

© everydaycalculation.com