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Add 30/32 and 35/36

30/32 + 35/36 is 275/144.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 32 and 36 is 288

    Next, find the equivalent fraction of both fractional numbers with denominator 288
  2. For the 1st fraction, since 32 × 9 = 288,
    30/32 = 30 × 9/32 × 9 = 270/288
  3. Likewise, for the 2nd fraction, since 36 × 8 = 288,
    35/36 = 35 × 8/36 × 8 = 280/288
  4. Add the two like fractions:
    270/288 + 280/288 = 270 + 280/288 = 550/288
  5. 550/288 simplified gives 275/144
  6. So, 30/32 + 35/36 = 275/144
    In mixed form: 1131/144

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