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Add 30/10 and 40/49

1st number: 3 0/10, 2nd number: 40/49

30/10 + 40/49 is 187/49.

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,
    30/10 = 30 × 49/10 × 49 = 1470/490
  3. Likewise, for the 2nd fraction, since 49 × 10 = 490,
    40/49 = 40 × 10/49 × 10 = 400/490
  4. Add the two like fractions:
    1470/490 + 400/490 = 1470 + 400/490 = 1870/490
  5. 1870/490 simplified gives 187/49
  6. So, 30/10 + 40/49 = 187/49
    In mixed form: 340/49

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