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Add 40/49 and 6/40

40/49 + 6/40 is 947/980.

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,
    40/49 = 40 × 40/49 × 40 = 1600/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    6/40 = 6 × 49/40 × 49 = 294/1960
  4. Add the two like fractions:
    1600/1960 + 294/1960 = 1600 + 294/1960 = 1894/1960
  5. 1894/1960 simplified gives 947/980
  6. So, 40/49 + 6/40 = 947/980

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