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Add 40/84 and 35/30

1st number: 40/84, 2nd number: 1 5/30

40/84 + 35/30 is 23/14.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 30 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 84 × 5 = 420,
    40/84 = 40 × 5/84 × 5 = 200/420
  3. Likewise, for the 2nd fraction, since 30 × 14 = 420,
    35/30 = 35 × 14/30 × 14 = 490/420
  4. Add the two like fractions:
    200/420 + 490/420 = 200 + 490/420 = 690/420
  5. 690/420 simplified gives 23/14
  6. So, 40/84 + 35/30 = 23/14
    In mixed form: 19/14

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