Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 7/24 and 40/45

7/24 + 40/45 is 85/72.

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,
    7/24 = 7 × 15/24 × 15 = 105/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    40/45 = 40 × 8/45 × 8 = 320/360
  4. Add the two like fractions:
    105/360 + 320/360 = 105 + 320/360 = 425/360
  5. 425/360 simplified gives 85/72
  6. So, 7/24 + 40/45 = 85/72
    In mixed form: 113/72

MathStep (Works offline)

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

Related:

© everydaycalculation.com