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Add 10/35 and 35/36

10/35 + 35/36 is 317/252.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 36 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 35 × 36 = 1260,
    10/35 = 10 × 36/35 × 36 = 360/1260
  3. Likewise, for the 2nd fraction, since 36 × 35 = 1260,
    35/36 = 35 × 35/36 × 35 = 1225/1260
  4. Add the two like fractions:
    360/1260 + 1225/1260 = 360 + 1225/1260 = 1585/1260
  5. 1585/1260 simplified gives 317/252
  6. So, 10/35 + 35/36 = 317/252
    In mixed form: 165/252

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