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Add 30/96 and 21/45

30/96 + 21/45 is 187/240.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 96 and 45 is 1440

    Next, find the equivalent fraction of both fractional numbers with denominator 1440
  2. For the 1st fraction, since 96 × 15 = 1440,
    30/96 = 30 × 15/96 × 15 = 450/1440
  3. Likewise, for the 2nd fraction, since 45 × 32 = 1440,
    21/45 = 21 × 32/45 × 32 = 672/1440
  4. Add the two like fractions:
    450/1440 + 672/1440 = 450 + 672/1440 = 1122/1440
  5. 1122/1440 simplified gives 187/240
  6. So, 30/96 + 21/45 = 187/240

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