Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/42 and 36/45

40/42 + 36/45 is 184/105.

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,
    36/45 = 36 × 14/45 × 14 = 504/630
  4. Add the two like fractions:
    600/630 + 504/630 = 600 + 504/630 = 1104/630
  5. 1104/630 simplified gives 184/105
  6. So, 40/42 + 36/45 = 184/105
    In mixed form: 179/105

MathStep (Works offline)

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

Related:

© everydaycalculation.com