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Add 30/75 and 42/98

30/75 + 42/98 is 29/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 98 is 7350

    Next, find the equivalent fraction of both fractional numbers with denominator 7350
  2. For the 1st fraction, since 75 × 98 = 7350,
    30/75 = 30 × 98/75 × 98 = 2940/7350
  3. Likewise, for the 2nd fraction, since 98 × 75 = 7350,
    42/98 = 42 × 75/98 × 75 = 3150/7350
  4. Add the two like fractions:
    2940/7350 + 3150/7350 = 2940 + 3150/7350 = 6090/7350
  5. 6090/7350 simplified gives 29/35
  6. So, 30/75 + 42/98 = 29/35

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