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Add 9/40 and 35/84

9/40 + 35/84 is 77/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 84 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 40 × 21 = 840,
    9/40 = 9 × 21/40 × 21 = 189/840
  3. Likewise, for the 2nd fraction, since 84 × 10 = 840,
    35/84 = 35 × 10/84 × 10 = 350/840
  4. Add the two like fractions:
    189/840 + 350/840 = 189 + 350/840 = 539/840
  5. 539/840 simplified gives 77/120
  6. So, 9/40 + 35/84 = 77/120

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