Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/16 and 20/75

1st number: 1 11/16, 2nd number: 20/75

27/16 + 20/75 is 469/240.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 16 and 75 is 1200

    Next, find the equivalent fraction of both fractional numbers with denominator 1200
  2. For the 1st fraction, since 16 × 75 = 1200,
    27/16 = 27 × 75/16 × 75 = 2025/1200
  3. Likewise, for the 2nd fraction, since 75 × 16 = 1200,
    20/75 = 20 × 16/75 × 16 = 320/1200
  4. Add the two like fractions:
    2025/1200 + 320/1200 = 2025 + 320/1200 = 2345/1200
  5. 2345/1200 simplified gives 469/240
  6. So, 27/16 + 20/75 = 469/240
    In mixed form: 1229/240

MathStep (Works offline)

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

Related:

© everydaycalculation.com