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Add 36/42 and 30/64

36/42 + 30/64 is 297/224.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 64 is 1344

    Next, find the equivalent fraction of both fractional numbers with denominator 1344
  2. For the 1st fraction, since 42 × 32 = 1344,
    36/42 = 36 × 32/42 × 32 = 1152/1344
  3. Likewise, for the 2nd fraction, since 64 × 21 = 1344,
    30/64 = 30 × 21/64 × 21 = 630/1344
  4. Add the two like fractions:
    1152/1344 + 630/1344 = 1152 + 630/1344 = 1782/1344
  5. 1782/1344 simplified gives 297/224
  6. So, 36/42 + 30/64 = 297/224
    In mixed form: 173/224

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