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Add 2/49 and 35/40

2/49 + 35/40 is 359/392.

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,
    2/49 = 2 × 40/49 × 40 = 80/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    35/40 = 35 × 49/40 × 49 = 1715/1960
  4. Add the two like fractions:
    80/1960 + 1715/1960 = 80 + 1715/1960 = 1795/1960
  5. 1795/1960 simplified gives 359/392
  6. So, 2/49 + 35/40 = 359/392

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