Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 30/84 and 42/45

30/84 + 42/45 is 271/210.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 45 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    30/84 = 30 × 15/84 × 15 = 450/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    42/45 = 42 × 28/45 × 28 = 1176/1260
  4. Add the two like fractions:
    450/1260 + 1176/1260 = 450 + 1176/1260 = 1626/1260
  5. 1626/1260 simplified gives 271/210
  6. So, 30/84 + 42/45 = 271/210
    In mixed form: 161/210

MathStep (Works offline)

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

Related:

© everydaycalculation.com