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Add 35/42 and 9/40

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

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 40 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 42 × 20 = 840,
    35/42 = 35 × 20/42 × 20 = 700/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    9/40 = 9 × 21/40 × 21 = 189/840
  4. Add the two like fractions:
    700/840 + 189/840 = 700 + 189/840 = 889/840
  5. 889/840 simplified gives 127/120
  6. So, 35/42 + 9/40 = 127/120
    In mixed form: 17/120

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