Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 27/21 and 42/27

1st number: 1 6/21, 2nd number: 1 15/27

27/21 + 42/27 is 179/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 27 is 189

    Next, find the equivalent fraction of both fractional numbers with denominator 189
  2. For the 1st fraction, since 21 × 9 = 189,
    27/21 = 27 × 9/21 × 9 = 243/189
  3. Likewise, for the 2nd fraction, since 27 × 7 = 189,
    42/27 = 42 × 7/27 × 7 = 294/189
  4. Add the two like fractions:
    243/189 + 294/189 = 243 + 294/189 = 537/189
  5. 537/189 simplified gives 179/63
  6. So, 27/21 + 42/27 = 179/63
    In mixed form: 253/63

MathStep (Works offline)

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

Related:

© everydaycalculation.com