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Add 49/10 and 21/24

1st number: 4 9/10, 2nd number: 21/24

49/10 + 21/24 is 231/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 24 is 120

    Next, find the equivalent fraction of both fractional numbers with denominator 120
  2. For the 1st fraction, since 10 × 12 = 120,
    49/10 = 49 × 12/10 × 12 = 588/120
  3. Likewise, for the 2nd fraction, since 24 × 5 = 120,
    21/24 = 21 × 5/24 × 5 = 105/120
  4. Add the two like fractions:
    588/120 + 105/120 = 588 + 105/120 = 693/120
  5. 693/120 simplified gives 231/40
  6. So, 49/10 + 21/24 = 231/40
    In mixed form: 531/40

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