Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 45/18 and 42/16

1st number: 2 9/18, 2nd number: 2 10/16

45/18 + 42/16 is 41/8.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 18 and 16 is 144

    Next, find the equivalent fraction of both fractional numbers with denominator 144
  2. For the 1st fraction, since 18 × 8 = 144,
    45/18 = 45 × 8/18 × 8 = 360/144
  3. Likewise, for the 2nd fraction, since 16 × 9 = 144,
    42/16 = 42 × 9/16 × 9 = 378/144
  4. Add the two like fractions:
    360/144 + 378/144 = 360 + 378/144 = 738/144
  5. 738/144 simplified gives 41/8
  6. So, 45/18 + 42/16 = 41/8
    In mixed form: 51/8

MathStep (Works offline)

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

Related:

© everydaycalculation.com