Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 75/40 and 49/9

1st number: 1 35/40, 2nd number: 5 4/9

75/40 + 49/9 is 527/72.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 9 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 40 × 9 = 360,
    75/40 = 75 × 9/40 × 9 = 675/360
  3. Likewise, for the 2nd fraction, since 9 × 40 = 360,
    49/9 = 49 × 40/9 × 40 = 1960/360
  4. Add the two like fractions:
    675/360 + 1960/360 = 675 + 1960/360 = 2635/360
  5. 2635/360 simplified gives 527/72
  6. So, 75/40 + 49/9 = 527/72
    In mixed form: 723/72

MathStep (Works offline)

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

Related:

© everydaycalculation.com