Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 49/24 and 40/45

1st number: 2 1/24, 2nd number: 40/45

49/24 + 40/45 is 211/72.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 24 and 45 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 24 × 15 = 360,
    49/24 = 49 × 15/24 × 15 = 735/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    40/45 = 40 × 8/45 × 8 = 320/360
  4. Add the two like fractions:
    735/360 + 320/360 = 735 + 320/360 = 1055/360
  5. 1055/360 simplified gives 211/72
  6. So, 49/24 + 40/45 = 211/72
    In mixed form: 267/72

MathStep (Works offline)

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

Related:

© everydaycalculation.com