Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/49 and 10/30

40/49 + 10/30 is 169/147.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 30 is 1470

    Next, find the equivalent fraction of both fractional numbers with denominator 1470
  2. For the 1st fraction, since 49 × 30 = 1470,
    40/49 = 40 × 30/49 × 30 = 1200/1470
  3. Likewise, for the 2nd fraction, since 30 × 49 = 1470,
    10/30 = 10 × 49/30 × 49 = 490/1470
  4. Add the two like fractions:
    1200/1470 + 490/1470 = 1200 + 490/1470 = 1690/1470
  5. 1690/1470 simplified gives 169/147
  6. So, 40/49 + 10/30 = 169/147
    In mixed form: 122/147

MathStep (Works offline)

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

Related:

© everydaycalculation.com