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Add 42/30 and 75/21

1st number: 1 12/30, 2nd number: 3 12/21

42/30 + 75/21 is 174/35.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 30 × 7 = 210,
    42/30 = 42 × 7/30 × 7 = 294/210
  3. Likewise, for the 2nd fraction, since 21 × 10 = 210,
    75/21 = 75 × 10/21 × 10 = 750/210
  4. Add the two like fractions:
    294/210 + 750/210 = 294 + 750/210 = 1044/210
  5. 1044/210 simplified gives 174/35
  6. So, 42/30 + 75/21 = 174/35
    In mixed form: 434/35

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