Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/42 and 45/9

1st number: 30/42, 2nd number: 5 0/9

30/42 + 45/9 is 40/7.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 9 is 126

    Next, find the equivalent fraction of both fractional numbers with denominator 126
  2. For the 1st fraction, since 42 × 3 = 126,
    30/42 = 30 × 3/42 × 3 = 90/126
  3. Likewise, for the 2nd fraction, since 9 × 14 = 126,
    45/9 = 45 × 14/9 × 14 = 630/126
  4. Add the two like fractions:
    90/126 + 630/126 = 90 + 630/126 = 720/126
  5. 720/126 simplified gives 40/7
  6. So, 30/42 + 45/9 = 40/7
    In mixed form: 55/7

MathStep (Works offline)

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

Related:

© everydaycalculation.com