Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 20/75 and 49/54

20/75 + 49/54 is 317/270.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 54 is 1350

    Next, find the equivalent fraction of both fractional numbers with denominator 1350
  2. For the 1st fraction, since 75 × 18 = 1350,
    20/75 = 20 × 18/75 × 18 = 360/1350
  3. Likewise, for the 2nd fraction, since 54 × 25 = 1350,
    49/54 = 49 × 25/54 × 25 = 1225/1350
  4. Add the two like fractions:
    360/1350 + 1225/1350 = 360 + 1225/1350 = 1585/1350
  5. 1585/1350 simplified gives 317/270
  6. So, 20/75 + 49/54 = 317/270
    In mixed form: 147/270

MathStep (Works offline)

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

Related:

© everydaycalculation.com