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Add 27/49 and 10/40

27/49 + 10/40 is 157/196.

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,
    27/49 = 27 × 40/49 × 40 = 1080/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    10/40 = 10 × 49/40 × 49 = 490/1960
  4. Add the two like fractions:
    1080/1960 + 490/1960 = 1080 + 490/1960 = 1570/1960
  5. 1570/1960 simplified gives 157/196
  6. So, 27/49 + 10/40 = 157/196

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