Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 10/6 and 40/45

1st number: 1 4/6, 2nd number: 40/45

10/6 + 40/45 is 23/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 6 and 45 is 90

    Next, find the equivalent fraction of both fractional numbers with denominator 90
  2. For the 1st fraction, since 6 × 15 = 90,
    10/6 = 10 × 15/6 × 15 = 150/90
  3. Likewise, for the 2nd fraction, since 45 × 2 = 90,
    40/45 = 40 × 2/45 × 2 = 80/90
  4. Add the two like fractions:
    150/90 + 80/90 = 150 + 80/90 = 230/90
  5. 230/90 simplified gives 23/9
  6. So, 10/6 + 40/45 = 23/9
    In mixed form: 25/9

MathStep (Works offline)

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

Related:

© everydaycalculation.com