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Add 42/49 and 14/45

42/49 + 14/45 is 368/315.

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,
    14/45 = 14 × 49/45 × 49 = 686/2205
  4. Add the two like fractions:
    1890/2205 + 686/2205 = 1890 + 686/2205 = 2576/2205
  5. 2576/2205 simplified gives 368/315
  6. So, 42/49 + 14/45 = 368/315
    In mixed form: 153/315

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