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Add 27/10 and 84/49

1st number: 2 7/10, 2nd number: 1 35/49

27/10 + 84/49 is 309/70.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 49 is 490

    Next, find the equivalent fraction of both fractional numbers with denominator 490
  2. For the 1st fraction, since 10 × 49 = 490,
    27/10 = 27 × 49/10 × 49 = 1323/490
  3. Likewise, for the 2nd fraction, since 49 × 10 = 490,
    84/49 = 84 × 10/49 × 10 = 840/490
  4. Add the two like fractions:
    1323/490 + 840/490 = 1323 + 840/490 = 2163/490
  5. 2163/490 simplified gives 309/70
  6. So, 27/10 + 84/49 = 309/70
    In mixed form: 429/70

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