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Add 8/40 and 35/49

8/40 + 35/49 is 32/35.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1960
  2. For the 1st fraction, since 40 × 49 = 1960,
    8/40 = 8 × 49/40 × 49 = 392/1960
  3. Likewise, for the 2nd fraction, since 49 × 40 = 1960,
    35/49 = 35 × 40/49 × 40 = 1400/1960
  4. Add the two like fractions:
    392/1960 + 1400/1960 = 392 + 1400/1960 = 1792/1960
  5. 1792/1960 simplified gives 32/35
  6. So, 8/40 + 35/49 = 32/35

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