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Add 35/21 and 42/30

1st number: 1 14/21, 2nd number: 1 12/30

35/21 + 42/30 is 46/15.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 30 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 21 × 10 = 210,
    35/21 = 35 × 10/21 × 10 = 350/210
  3. Likewise, for the 2nd fraction, since 30 × 7 = 210,
    42/30 = 42 × 7/30 × 7 = 294/210
  4. Add the two like fractions:
    350/210 + 294/210 = 350 + 294/210 = 644/210
  5. 644/210 simplified gives 46/15
  6. So, 35/21 + 42/30 = 46/15
    In mixed form: 31/15

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