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Add 30/45 and 30/49

30/45 + 30/49 is 188/147.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 49 is 2205

    Next, find the equivalent fraction of both fractional numbers with denominator 2205
  2. For the 1st fraction, since 45 × 49 = 2205,
    30/45 = 30 × 49/45 × 49 = 1470/2205
  3. Likewise, for the 2nd fraction, since 49 × 45 = 2205,
    30/49 = 30 × 45/49 × 45 = 1350/2205
  4. Add the two like fractions:
    1470/2205 + 1350/2205 = 1470 + 1350/2205 = 2820/2205
  5. 2820/2205 simplified gives 188/147
  6. So, 30/45 + 30/49 = 188/147
    In mixed form: 141/147

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