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Add 10/21 and 32/45

10/21 + 32/45 is 374/315.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 45 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 21 × 15 = 315,
    10/21 = 10 × 15/21 × 15 = 150/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    32/45 = 32 × 7/45 × 7 = 224/315
  4. Add the two like fractions:
    150/315 + 224/315 = 150 + 224/315 = 374/315
  5. So, 10/21 + 32/45 = 374/315
    In mixed form: 159/315

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