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Add 49/45 and 10/84

1st number: 1 4/45, 2nd number: 10/84

49/45 + 10/84 is 761/630.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 45 × 28 = 1260,
    49/45 = 49 × 28/45 × 28 = 1372/1260
  3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
    10/84 = 10 × 15/84 × 15 = 150/1260
  4. Add the two like fractions:
    1372/1260 + 150/1260 = 1372 + 150/1260 = 1522/1260
  5. 1522/1260 simplified gives 761/630
  6. So, 49/45 + 10/84 = 761/630
    In mixed form: 1131/630

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