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Add 45/84 and 40/49

45/84 + 40/49 is 265/196.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 49 is 588

    Next, find the equivalent fraction of both fractional numbers with denominator 588
  2. For the 1st fraction, since 84 × 7 = 588,
    45/84 = 45 × 7/84 × 7 = 315/588
  3. Likewise, for the 2nd fraction, since 49 × 12 = 588,
    40/49 = 40 × 12/49 × 12 = 480/588
  4. Add the two like fractions:
    315/588 + 480/588 = 315 + 480/588 = 795/588
  5. 795/588 simplified gives 265/196
  6. So, 45/84 + 40/49 = 265/196
    In mixed form: 169/196

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