Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 35/45 and 42/63

35/45 + 42/63 is 13/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 63 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 45 × 7 = 315,
    35/45 = 35 × 7/45 × 7 = 245/315
  3. Likewise, for the 2nd fraction, since 63 × 5 = 315,
    42/63 = 42 × 5/63 × 5 = 210/315
  4. Add the two like fractions:
    245/315 + 210/315 = 245 + 210/315 = 455/315
  5. 455/315 simplified gives 13/9
  6. So, 35/45 + 42/63 = 13/9
    In mixed form: 14/9

MathStep (Works offline)

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

Related:

© everydaycalculation.com