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Add 14/5 and 21/9

1st number: 2 4/5, 2nd number: 2 3/9

14/5 + 21/9 is 77/15.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 9 is 45

    Next, find the equivalent fraction of both fractional numbers with denominator 45
  2. For the 1st fraction, since 5 × 9 = 45,
    14/5 = 14 × 9/5 × 9 = 126/45
  3. Likewise, for the 2nd fraction, since 9 × 5 = 45,
    21/9 = 21 × 5/9 × 5 = 105/45
  4. Add the two like fractions:
    126/45 + 105/45 = 126 + 105/45 = 231/45
  5. 231/45 simplified gives 77/15
  6. So, 14/5 + 21/9 = 77/15
    In mixed form: 52/15

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