Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 18/30 and 40/7

1st number: 18/30, 2nd number: 5 5/7

18/30 + 40/7 is 221/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 7 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 30 × 7 = 210,
    18/30 = 18 × 7/30 × 7 = 126/210
  3. Likewise, for the 2nd fraction, since 7 × 30 = 210,
    40/7 = 40 × 30/7 × 30 = 1200/210
  4. Add the two like fractions:
    126/210 + 1200/210 = 126 + 1200/210 = 1326/210
  5. 1326/210 simplified gives 221/35
  6. So, 18/30 + 40/7 = 221/35
    In mixed form: 611/35

MathStep (Works offline)

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

Related:

© everydaycalculation.com