Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 72/49 and 18/27

1st number: 1 23/49, 2nd number: 18/27

72/49 + 18/27 is 314/147.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1323
  2. For the 1st fraction, since 49 × 27 = 1323,
    72/49 = 72 × 27/49 × 27 = 1944/1323
  3. Likewise, for the 2nd fraction, since 27 × 49 = 1323,
    18/27 = 18 × 49/27 × 49 = 882/1323
  4. Add the two like fractions:
    1944/1323 + 882/1323 = 1944 + 882/1323 = 2826/1323
  5. 2826/1323 simplified gives 314/147
  6. So, 72/49 + 18/27 = 314/147
    In mixed form: 220/147

MathStep (Works offline)

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

Related:

© everydaycalculation.com