Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 90/84 and 42/75

1st number: 1 6/84, 2nd number: 42/75

90/84 + 42/75 is 571/350.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 75 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 84 × 25 = 2100,
    90/84 = 90 × 25/84 × 25 = 2250/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    42/75 = 42 × 28/75 × 28 = 1176/2100
  4. Add the two like fractions:
    2250/2100 + 1176/2100 = 2250 + 1176/2100 = 3426/2100
  5. 3426/2100 simplified gives 571/350
  6. So, 90/84 + 42/75 = 571/350
    In mixed form: 1221/350

MathStep (Works offline)

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

Related:

© everydaycalculation.com