Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/15 and 45/7

1st number: 2 10/15, 2nd number: 6 3/7

40/15 + 45/7 is 191/21.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 7 is 105

    Next, find the equivalent fraction of both fractional numbers with denominator 105
  2. For the 1st fraction, since 15 × 7 = 105,
    40/15 = 40 × 7/15 × 7 = 280/105
  3. Likewise, for the 2nd fraction, since 7 × 15 = 105,
    45/7 = 45 × 15/7 × 15 = 675/105
  4. Add the two like fractions:
    280/105 + 675/105 = 280 + 675/105 = 955/105
  5. 955/105 simplified gives 191/21
  6. So, 40/15 + 45/7 = 191/21
    In mixed form: 92/21

MathStep (Works offline)

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

Related:

© everydaycalculation.com