Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 18/42 and 40/54

18/42 + 40/54 is 221/189.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 54 is 378

    Next, find the equivalent fraction of both fractional numbers with denominator 378
  2. For the 1st fraction, since 42 × 9 = 378,
    18/42 = 18 × 9/42 × 9 = 162/378
  3. Likewise, for the 2nd fraction, since 54 × 7 = 378,
    40/54 = 40 × 7/54 × 7 = 280/378
  4. Add the two like fractions:
    162/378 + 280/378 = 162 + 280/378 = 442/378
  5. 442/378 simplified gives 221/189
  6. So, 18/42 + 40/54 = 221/189
    In mixed form: 132/189

MathStep (Works offline)

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

Related:

© everydaycalculation.com