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Add 30/35 and 42/49

30/35 + 42/49 is 12/7.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 49 is 245

    Next, find the equivalent fraction of both fractional numbers with denominator 245
  2. For the 1st fraction, since 35 × 7 = 245,
    30/35 = 30 × 7/35 × 7 = 210/245
  3. Likewise, for the 2nd fraction, since 49 × 5 = 245,
    42/49 = 42 × 5/49 × 5 = 210/245
  4. Add the two like fractions:
    210/245 + 210/245 = 210 + 210/245 = 420/245
  5. 420/245 simplified gives 12/7
  6. So, 30/35 + 42/49 = 12/7
    In mixed form: 15/7

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