Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 9/40 and 42/45

9/40 + 42/45 is 139/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 45 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 40 × 9 = 360,
    9/40 = 9 × 9/40 × 9 = 81/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    42/45 = 42 × 8/45 × 8 = 336/360
  4. Add the two like fractions:
    81/360 + 336/360 = 81 + 336/360 = 417/360
  5. 417/360 simplified gives 139/120
  6. So, 9/40 + 42/45 = 139/120
    In mixed form: 119/120

MathStep (Works offline)

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

Related:

© everydaycalculation.com