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Add 21/49 and 9/40

21/49 + 9/40 is 183/280.

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,
    21/49 = 21 × 40/49 × 40 = 840/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    9/40 = 9 × 49/40 × 49 = 441/1960
  4. Add the two like fractions:
    840/1960 + 441/1960 = 840 + 441/1960 = 1281/1960
  5. 1281/1960 simplified gives 183/280
  6. So, 21/49 + 9/40 = 183/280

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