Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/21 and 15/40

1st number: 1 9/21, 2nd number: 15/40

30/21 + 15/40 is 101/56.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 40 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 21 × 40 = 840,
    30/21 = 30 × 40/21 × 40 = 1200/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    15/40 = 15 × 21/40 × 21 = 315/840
  4. Add the two like fractions:
    1200/840 + 315/840 = 1200 + 315/840 = 1515/840
  5. 1515/840 simplified gives 101/56
  6. So, 30/21 + 15/40 = 101/56
    In mixed form: 145/56

MathStep (Works offline)

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

Related:

© everydaycalculation.com