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Add 4/49 and 9/40

4/49 + 9/40 is 601/1960.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 40 is 1960

    Next, find the equivalent fraction of both fractional numbers with denominator 1960
  2. For the 1st fraction, since 49 × 40 = 1960,
    4/49 = 4 × 40/49 × 40 = 160/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    9/40 = 9 × 49/40 × 49 = 441/1960
  4. Add the two like fractions:
    160/1960 + 441/1960 = 160 + 441/1960 = 601/1960
  5. So, 4/49 + 9/40 = 601/1960

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