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Add 30/84 and 48/45

1st number: 30/84, 2nd number: 1 3/45

30/84 + 48/45 is 299/210.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 45 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    30/84 = 30 × 15/84 × 15 = 450/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    48/45 = 48 × 28/45 × 28 = 1344/1260
  4. Add the two like fractions:
    450/1260 + 1344/1260 = 450 + 1344/1260 = 1794/1260
  5. 1794/1260 simplified gives 299/210
  6. So, 30/84 + 48/45 = 299/210
    In mixed form: 189/210

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