Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/30 and 7/84

1st number: 1 10/30, 2nd number: 7/84

40/30 + 7/84 is 17/12.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 84 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 30 × 14 = 420,
    40/30 = 40 × 14/30 × 14 = 560/420
  3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
    7/84 = 7 × 5/84 × 5 = 35/420
  4. Add the two like fractions:
    560/420 + 35/420 = 560 + 35/420 = 595/420
  5. 595/420 simplified gives 17/12
  6. So, 40/30 + 7/84 = 17/12
    In mixed form: 15/12

MathStep (Works offline)

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

Related:

© everydaycalculation.com