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Add 84/35 and 9/40

1st number: 2 14/35, 2nd number: 9/40

84/35 + 9/40 is 21/8.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 40 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 35 × 8 = 280,
    84/35 = 84 × 8/35 × 8 = 672/280
  3. Likewise, for the 2nd fraction, since 40 × 7 = 280,
    9/40 = 9 × 7/40 × 7 = 63/280
  4. Add the two like fractions:
    672/280 + 63/280 = 672 + 63/280 = 735/280
  5. 735/280 simplified gives 21/8
  6. So, 84/35 + 9/40 = 21/8
    In mixed form: 25/8

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