Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/45 and 54/64

30/45 + 54/64 is 145/96.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 64 is 2880

    Next, find the equivalent fraction of both fractional numbers with denominator 2880
  2. For the 1st fraction, since 45 × 64 = 2880,
    30/45 = 30 × 64/45 × 64 = 1920/2880
  3. Likewise, for the 2nd fraction, since 64 × 45 = 2880,
    54/64 = 54 × 45/64 × 45 = 2430/2880
  4. Add the two like fractions:
    1920/2880 + 2430/2880 = 1920 + 2430/2880 = 4350/2880
  5. 4350/2880 simplified gives 145/96
  6. So, 30/45 + 54/64 = 145/96
    In mixed form: 149/96

MathStep (Works offline)

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

Related:

© everydaycalculation.com