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Add 9/40 and 35/42

9/40 + 35/42 is 127/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 42 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 42 × 20 = 840,
    35/42 = 35 × 20/42 × 20 = 700/840
  4. Add the two like fractions:
    189/840 + 700/840 = 189 + 700/840 = 889/840
  5. 889/840 simplified gives 127/120
  6. So, 9/40 + 35/42 = 127/120
    In mixed form: 17/120

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