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Add 28/30 and 21/42

28/30 + 21/42 is 43/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 42 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 30 × 7 = 210,
    28/30 = 28 × 7/30 × 7 = 196/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    21/42 = 21 × 5/42 × 5 = 105/210
  4. Add the two like fractions:
    196/210 + 105/210 = 196 + 105/210 = 301/210
  5. 301/210 simplified gives 43/30
  6. So, 28/30 + 21/42 = 43/30
    In mixed form: 113/30

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