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Add 42/49 and 2/45

42/49 + 2/45 is 284/315.

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,
    42/49 = 42 × 45/49 × 45 = 1890/2205
  3. Likewise, for the 2nd fraction, since 45 × 49 = 2205,
    2/45 = 2 × 49/45 × 49 = 98/2205
  4. Add the two like fractions:
    1890/2205 + 98/2205 = 1890 + 98/2205 = 1988/2205
  5. 1988/2205 simplified gives 284/315
  6. So, 42/49 + 2/45 = 284/315

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