Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 42/75 and 90/81

1st number: 42/75, 2nd number: 1 9/81

42/75 + 90/81 is 376/225.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 81 is 2025

    Next, find the equivalent fraction of both fractional numbers with denominator 2025
  2. For the 1st fraction, since 75 × 27 = 2025,
    42/75 = 42 × 27/75 × 27 = 1134/2025
  3. Likewise, for the 2nd fraction, since 81 × 25 = 2025,
    90/81 = 90 × 25/81 × 25 = 2250/2025
  4. Add the two like fractions:
    1134/2025 + 2250/2025 = 1134 + 2250/2025 = 3384/2025
  5. 3384/2025 simplified gives 376/225
  6. So, 42/75 + 90/81 = 376/225
    In mixed form: 1151/225

MathStep (Works offline)

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

Related:

© everydaycalculation.com