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Add 14/49 and 40/45

14/49 + 40/45 is 74/63.

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,
    14/49 = 14 × 45/49 × 45 = 630/2205
  3. Likewise, for the 2nd fraction, since 45 × 49 = 2205,
    40/45 = 40 × 49/45 × 49 = 1960/2205
  4. Add the two like fractions:
    630/2205 + 1960/2205 = 630 + 1960/2205 = 2590/2205
  5. 2590/2205 simplified gives 74/63
  6. So, 14/49 + 40/45 = 74/63
    In mixed form: 111/63

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