Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/27 and 21/45

1st number: 1 3/27, 2nd number: 21/45

30/27 + 21/45 is 71/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 45 is 135

    Next, find the equivalent fraction of both fractional numbers with denominator 135
  2. For the 1st fraction, since 27 × 5 = 135,
    30/27 = 30 × 5/27 × 5 = 150/135
  3. Likewise, for the 2nd fraction, since 45 × 3 = 135,
    21/45 = 21 × 3/45 × 3 = 63/135
  4. Add the two like fractions:
    150/135 + 63/135 = 150 + 63/135 = 213/135
  5. 213/135 simplified gives 71/45
  6. So, 30/27 + 21/45 = 71/45
    In mixed form: 126/45

MathStep (Works offline)

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

Related:

© everydaycalculation.com