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Add 2/40 and 10/49

2/40 + 10/49 is 249/980.

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,
    2/40 = 2 × 49/40 × 49 = 98/1960
  3. Likewise, for the 2nd fraction, since 49 × 40 = 1960,
    10/49 = 10 × 40/49 × 40 = 400/1960
  4. Add the two like fractions:
    98/1960 + 400/1960 = 98 + 400/1960 = 498/1960
  5. 498/1960 simplified gives 249/980
  6. So, 2/40 + 10/49 = 249/980

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