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Add 9/49 and 10/40

9/49 + 10/40 is 85/196.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 40 is 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,
    10/40 = 10 × 49/40 × 49 = 490/1960
  4. Add the two fractions:
    360/1960 + 490/1960 = 360 + 490/1960 = 850/1960
  5. After reducing the fraction, the answer is 85/196

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