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Add 30/70 and 40/49

30/70 + 40/49 is 61/49.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 70 and 49 is 490

    Next, find the equivalent fraction of both fractional numbers with denominator 490
  2. For the 1st fraction, since 70 × 7 = 490,
    30/70 = 30 × 7/70 × 7 = 210/490
  3. Likewise, for the 2nd fraction, since 49 × 10 = 490,
    40/49 = 40 × 10/49 × 10 = 400/490
  4. Add the two like fractions:
    210/490 + 400/490 = 210 + 400/490 = 610/490
  5. 610/490 simplified gives 61/49
  6. So, 30/70 + 40/49 = 61/49
    In mixed form: 112/49

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