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Add 70/84 and 7/49

70/84 + 7/49 is 41/42.

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,
    70/84 = 70 × 7/84 × 7 = 490/588
  3. Likewise, for the 2nd fraction, since 49 × 12 = 588,
    7/49 = 7 × 12/49 × 12 = 84/588
  4. Add the two like fractions:
    490/588 + 84/588 = 490 + 84/588 = 574/588
  5. 574/588 simplified gives 41/42
  6. So, 70/84 + 7/49 = 41/42

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