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Add 42/98 and 18/30

42/98 + 18/30 is 36/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 98 and 30 is 1470

    Next, find the equivalent fraction of both fractional numbers with denominator 1470
  2. For the 1st fraction, since 98 × 15 = 1470,
    42/98 = 42 × 15/98 × 15 = 630/1470
  3. Likewise, for the 2nd fraction, since 30 × 49 = 1470,
    18/30 = 18 × 49/30 × 49 = 882/1470
  4. Add the two like fractions:
    630/1470 + 882/1470 = 630 + 882/1470 = 1512/1470
  5. 1512/1470 simplified gives 36/35
  6. So, 42/98 + 18/30 = 36/35
    In mixed form: 11/35

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