Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/75 and 27/16

1st number: 21/75, 2nd number: 1 11/16

21/75 + 27/16 is 787/400.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1200
  2. For the 1st fraction, since 75 × 16 = 1200,
    21/75 = 21 × 16/75 × 16 = 336/1200
  3. Likewise, for the 2nd fraction, since 16 × 75 = 1200,
    27/16 = 27 × 75/16 × 75 = 2025/1200
  4. Add the two like fractions:
    336/1200 + 2025/1200 = 336 + 2025/1200 = 2361/1200
  5. 2361/1200 simplified gives 787/400
  6. So, 21/75 + 27/16 = 787/400
    In mixed form: 1387/400

MathStep (Works offline)

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

Related:

© everydaycalculation.com