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Add 21/42 and 30/40

21/42 + 30/40 is 5/4.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 40 is 840
  2. For the 1st fraction, since 42 × 20 = 840,
    21/42 = 21 × 20/42 × 20 = 420/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    30/40 = 30 × 21/40 × 21 = 630/840
  4. Add the two fractions:
    420/840 + 630/840 = 420 + 630/840 = 1050/840
  5. 1050/840 simplified gives 5/4
  6. So, 21/42 + 30/40 = 5/4
    In mixed form: 11/4

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