Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 90/81 and 45/16

1st number: 1 9/81, 2nd number: 2 13/16

90/81 + 45/16 is 565/144.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 81 and 16 is 1296

    Next, find the equivalent fraction of both fractional numbers with denominator 1296
  2. For the 1st fraction, since 81 × 16 = 1296,
    90/81 = 90 × 16/81 × 16 = 1440/1296
  3. Likewise, for the 2nd fraction, since 16 × 81 = 1296,
    45/16 = 45 × 81/16 × 81 = 3645/1296
  4. Add the two like fractions:
    1440/1296 + 3645/1296 = 1440 + 3645/1296 = 5085/1296
  5. 5085/1296 simplified gives 565/144
  6. So, 90/81 + 45/16 = 565/144
    In mixed form: 3133/144

MathStep (Works offline)

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

Related:

© everydaycalculation.com