Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 45/84 and 27/40

45/84 + 27/40 is 339/280.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 40 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 84 × 10 = 840,
    45/84 = 45 × 10/84 × 10 = 450/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    27/40 = 27 × 21/40 × 21 = 567/840
  4. Add the two like fractions:
    450/840 + 567/840 = 450 + 567/840 = 1017/840
  5. 1017/840 simplified gives 339/280
  6. So, 45/84 + 27/40 = 339/280
    In mixed form: 159/280

MathStep (Works offline)

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

Related:

© everydaycalculation.com