Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 21/42 and 30/45

21/42 + 30/45 is 7/6.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 45 is 630

    Next, find the equivalent fraction of both fractional numbers with denominator 630
  2. For the 1st fraction, since 42 × 15 = 630,
    21/42 = 21 × 15/42 × 15 = 315/630
  3. Likewise, for the 2nd fraction, since 45 × 14 = 630,
    30/45 = 30 × 14/45 × 14 = 420/630
  4. Add the two like fractions:
    315/630 + 420/630 = 315 + 420/630 = 735/630
  5. 735/630 simplified gives 7/6
  6. So, 21/42 + 30/45 = 7/6
    In mixed form: 11/6

MathStep (Works offline)

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

Related:

© everydaycalculation.com