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Add 21/30 and 75/8

1st number: 21/30, 2nd number: 9 3/8

21/30 + 75/8 is 403/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 8 is 120

    Next, find the equivalent fraction of both fractional numbers with denominator 120
  2. For the 1st fraction, since 30 × 4 = 120,
    21/30 = 21 × 4/30 × 4 = 84/120
  3. Likewise, for the 2nd fraction, since 8 × 15 = 120,
    75/8 = 75 × 15/8 × 15 = 1125/120
  4. Add the two like fractions:
    84/120 + 1125/120 = 84 + 1125/120 = 1209/120
  5. 1209/120 simplified gives 403/40
  6. So, 21/30 + 75/8 = 403/40
    In mixed form: 103/40

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