Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 14/35 and 49/9

1st number: 14/35, 2nd number: 5 4/9

14/35 + 49/9 is 263/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 9 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 35 × 9 = 315,
    14/35 = 14 × 9/35 × 9 = 126/315
  3. Likewise, for the 2nd fraction, since 9 × 35 = 315,
    49/9 = 49 × 35/9 × 35 = 1715/315
  4. Add the two like fractions:
    126/315 + 1715/315 = 126 + 1715/315 = 1841/315
  5. 1841/315 simplified gives 263/45
  6. So, 14/35 + 49/9 = 263/45
    In mixed form: 538/45

MathStep (Works offline)

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

Related:

© everydaycalculation.com