Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 16/27 and 42/49

16/27 + 42/49 is 274/189.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 49 is 1323

    Next, find the equivalent fraction of both fractional numbers with denominator 1323
  2. For the 1st fraction, since 27 × 49 = 1323,
    16/27 = 16 × 49/27 × 49 = 784/1323
  3. Likewise, for the 2nd fraction, since 49 × 27 = 1323,
    42/49 = 42 × 27/49 × 27 = 1134/1323
  4. Add the two like fractions:
    784/1323 + 1134/1323 = 784 + 1134/1323 = 1918/1323
  5. 1918/1323 simplified gives 274/189
  6. So, 16/27 + 42/49 = 274/189
    In mixed form: 185/189

MathStep (Works offline)

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

Related:

© everydaycalculation.com