Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 20/9 and 42/96

1st number: 2 2/9, 2nd number: 42/96

20/9 + 42/96 is 383/144.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 96 is 288

    Next, find the equivalent fraction of both fractional numbers with denominator 288
  2. For the 1st fraction, since 9 × 32 = 288,
    20/9 = 20 × 32/9 × 32 = 640/288
  3. Likewise, for the 2nd fraction, since 96 × 3 = 288,
    42/96 = 42 × 3/96 × 3 = 126/288
  4. Add the two like fractions:
    640/288 + 126/288 = 640 + 126/288 = 766/288
  5. 766/288 simplified gives 383/144
  6. So, 20/9 + 42/96 = 383/144
    In mixed form: 295/144

MathStep (Works offline)

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

Related:

© everydaycalculation.com