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Add 3/49 and 4/40

3/49 + 4/40 is 79/490.

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,
    3/49 = 3 × 40/49 × 40 = 120/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    4/40 = 4 × 49/40 × 49 = 196/1960
  4. Add the two like fractions:
    120/1960 + 196/1960 = 120 + 196/1960 = 316/1960
  5. 316/1960 simplified gives 79/490
  6. So, 3/49 + 4/40 = 79/490

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