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Add 35/50 and 21/40

35/50 + 21/40 is 49/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 50 and 40 is 200

    Next, find the equivalent fraction of both fractional numbers with denominator 200
  2. For the 1st fraction, since 50 × 4 = 200,
    35/50 = 35 × 4/50 × 4 = 140/200
  3. Likewise, for the 2nd fraction, since 40 × 5 = 200,
    21/40 = 21 × 5/40 × 5 = 105/200
  4. Add the two like fractions:
    140/200 + 105/200 = 140 + 105/200 = 245/200
  5. 245/200 simplified gives 49/40
  6. So, 35/50 + 21/40 = 49/40
    In mixed form: 19/40

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