Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/16 and 16/9

1st number: 1 14/16, 2nd number: 1 7/9

30/16 + 16/9 is 263/72.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 16 and 9 is 144

    Next, find the equivalent fraction of both fractional numbers with denominator 144
  2. For the 1st fraction, since 16 × 9 = 144,
    30/16 = 30 × 9/16 × 9 = 270/144
  3. Likewise, for the 2nd fraction, since 9 × 16 = 144,
    16/9 = 16 × 16/9 × 16 = 256/144
  4. Add the two like fractions:
    270/144 + 256/144 = 270 + 256/144 = 526/144
  5. 526/144 simplified gives 263/72
  6. So, 30/16 + 16/9 = 263/72
    In mixed form: 347/72

MathStep (Works offline)

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

Related:

© everydaycalculation.com