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Add 21/84 and 30/49

21/84 + 30/49 is 169/196.

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,
    21/84 = 21 × 7/84 × 7 = 147/588
  3. Likewise, for the 2nd fraction, since 49 × 12 = 588,
    30/49 = 30 × 12/49 × 12 = 360/588
  4. Add the two like fractions:
    147/588 + 360/588 = 147 + 360/588 = 507/588
  5. 507/588 simplified gives 169/196
  6. So, 21/84 + 30/49 = 169/196

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