Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/21 and 54/40

1st number: 1 19/21, 2nd number: 1 14/40

40/21 + 54/40 is 1367/420.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 40 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 21 × 40 = 840,
    40/21 = 40 × 40/21 × 40 = 1600/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    54/40 = 54 × 21/40 × 21 = 1134/840
  4. Add the two like fractions:
    1600/840 + 1134/840 = 1600 + 1134/840 = 2734/840
  5. 2734/840 simplified gives 1367/420
  6. So, 40/21 + 54/40 = 1367/420
    In mixed form: 3107/420

MathStep (Works offline)

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

Related:

© everydaycalculation.com