Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/42 and 32/45

40/42 + 32/45 is 524/315.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 45 is 630

    Next, find the equivalent fraction of both fractional numbers with denominator 630
  2. For the 1st fraction, since 42 × 15 = 630,
    40/42 = 40 × 15/42 × 15 = 600/630
  3. Likewise, for the 2nd fraction, since 45 × 14 = 630,
    32/45 = 32 × 14/45 × 14 = 448/630
  4. Add the two like fractions:
    600/630 + 448/630 = 600 + 448/630 = 1048/630
  5. 1048/630 simplified gives 524/315
  6. So, 40/42 + 32/45 = 524/315
    In mixed form: 1209/315

MathStep (Works offline)

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

Related:

© everydaycalculation.com