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Add 30/64 and 49/63

30/64 + 49/63 is 359/288.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 64 and 63 is 4032

    Next, find the equivalent fraction of both fractional numbers with denominator 4032
  2. For the 1st fraction, since 64 × 63 = 4032,
    30/64 = 30 × 63/64 × 63 = 1890/4032
  3. Likewise, for the 2nd fraction, since 63 × 64 = 4032,
    49/63 = 49 × 64/63 × 64 = 3136/4032
  4. Add the two like fractions:
    1890/4032 + 3136/4032 = 1890 + 3136/4032 = 5026/4032
  5. 5026/4032 simplified gives 359/288
  6. So, 30/64 + 49/63 = 359/288
    In mixed form: 171/288

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