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Add 1/49 and 30/40

1/49 + 30/40 is 151/196.

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,
    1/49 = 1 × 40/49 × 40 = 40/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    30/40 = 30 × 49/40 × 49 = 1470/1960
  4. Add the two like fractions:
    40/1960 + 1470/1960 = 40 + 1470/1960 = 1510/1960
  5. 1510/1960 simplified gives 151/196
  6. So, 1/49 + 30/40 = 151/196

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