Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 54/75 and 42/54

54/75 + 42/54 is 337/225.

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,
    54/75 = 54 × 18/75 × 18 = 972/1350
  3. Likewise, for the 2nd fraction, since 54 × 25 = 1350,
    42/54 = 42 × 25/54 × 25 = 1050/1350
  4. Add the two like fractions:
    972/1350 + 1050/1350 = 972 + 1050/1350 = 2022/1350
  5. 2022/1350 simplified gives 337/225
  6. So, 54/75 + 42/54 = 337/225
    In mixed form: 1112/225

MathStep (Works offline)

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

Related:

© everydaycalculation.com