Answers

Solutions by everydaycalculation.com

Answers.everydaycalculation.com » Add fractions

Add 40/35 and 49/16

1st number: 1 5/35, 2nd number: 3 1/16

40/35 + 49/16 is 471/112.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 16 is 560

    Next, find the equivalent fraction of both fractional numbers with denominator 560
  2. For the 1st fraction, since 35 × 16 = 560,
    40/35 = 40 × 16/35 × 16 = 640/560
  3. Likewise, for the 2nd fraction, since 16 × 35 = 560,
    49/16 = 49 × 35/16 × 35 = 1715/560
  4. Add the two like fractions:
    640/560 + 1715/560 = 640 + 1715/560 = 2355/560
  5. 2355/560 simplified gives 471/112
  6. So, 40/35 + 49/16 = 471/112
    In mixed form: 423/112

MathStep (Works offline)

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

Related:

© everydaycalculation.com