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Add 21/49 and 42/45

21/49 + 42/45 is 143/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 45 is 2205

    Next, find the equivalent fraction of both fractional numbers with denominator 2205
  2. For the 1st fraction, since 49 × 45 = 2205,
    21/49 = 21 × 45/49 × 45 = 945/2205
  3. Likewise, for the 2nd fraction, since 45 × 49 = 2205,
    42/45 = 42 × 49/45 × 49 = 2058/2205
  4. Add the two like fractions:
    945/2205 + 2058/2205 = 945 + 2058/2205 = 3003/2205
  5. 3003/2205 simplified gives 143/105
  6. So, 21/49 + 42/45 = 143/105
    In mixed form: 138/105

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