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Add 40/42 and 45/49

40/42 + 45/49 is 275/147.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 49 is 294

    Next, find the equivalent fraction of both fractional numbers with denominator 294
  2. For the 1st fraction, since 42 × 7 = 294,
    40/42 = 40 × 7/42 × 7 = 280/294
  3. Likewise, for the 2nd fraction, since 49 × 6 = 294,
    45/49 = 45 × 6/49 × 6 = 270/294
  4. Add the two like fractions:
    280/294 + 270/294 = 280 + 270/294 = 550/294
  5. 550/294 simplified gives 275/147
  6. So, 40/42 + 45/49 = 275/147
    In mixed form: 1128/147

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