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Add 30/45 and 10/49

30/45 + 10/49 is 128/147.

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,
    10/49 = 10 × 45/49 × 45 = 450/2205
  4. Add the two like fractions:
    1470/2205 + 450/2205 = 1470 + 450/2205 = 1920/2205
  5. 1920/2205 simplified gives 128/147
  6. So, 30/45 + 10/49 = 128/147

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