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Add 21/36 and 49/96

21/36 + 49/96 is 35/32.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 36 and 96 is 288

    Next, find the equivalent fraction of both fractional numbers with denominator 288
  2. For the 1st fraction, since 36 × 8 = 288,
    21/36 = 21 × 8/36 × 8 = 168/288
  3. Likewise, for the 2nd fraction, since 96 × 3 = 288,
    49/96 = 49 × 3/96 × 3 = 147/288
  4. Add the two like fractions:
    168/288 + 147/288 = 168 + 147/288 = 315/288
  5. 315/288 simplified gives 35/32
  6. So, 21/36 + 49/96 = 35/32
    In mixed form: 13/32

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