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Add 9/49 and 20/40

9/49 + 20/40 is 67/98.

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,
    9/49 = 9 × 40/49 × 40 = 360/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    20/40 = 20 × 49/40 × 49 = 980/1960
  4. Add the two like fractions:
    360/1960 + 980/1960 = 360 + 980/1960 = 1340/1960
  5. 1340/1960 simplified gives 67/98
  6. So, 9/49 + 20/40 = 67/98

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