Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/56 and 40/9

1st number: 30/56, 2nd number: 4 4/9

30/56 + 40/9 is 1255/252.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 56 and 9 is 504

    Next, find the equivalent fraction of both fractional numbers with denominator 504
  2. For the 1st fraction, since 56 × 9 = 504,
    30/56 = 30 × 9/56 × 9 = 270/504
  3. Likewise, for the 2nd fraction, since 9 × 56 = 504,
    40/9 = 40 × 56/9 × 56 = 2240/504
  4. Add the two like fractions:
    270/504 + 2240/504 = 270 + 2240/504 = 2510/504
  5. 2510/504 simplified gives 1255/252
  6. So, 30/56 + 40/9 = 1255/252
    In mixed form: 4247/252

MathStep (Works offline)

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

Related:

© everydaycalculation.com