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Add 30/45 and 10/21

30/45 + 10/21 is 8/7.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 45 × 7 = 315,
    30/45 = 30 × 7/45 × 7 = 210/315
  3. Likewise, for the 2nd fraction, since 21 × 15 = 315,
    10/21 = 10 × 15/21 × 15 = 150/315
  4. Add the two like fractions:
    210/315 + 150/315 = 210 + 150/315 = 360/315
  5. 360/315 simplified gives 8/7
  6. So, 30/45 + 10/21 = 8/7
    In mixed form: 11/7

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