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Add 2/84 and 10/45

2/84 + 10/45 is 31/126.

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,
    2/84 = 2 × 15/84 × 15 = 30/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    10/45 = 10 × 28/45 × 28 = 280/1260
  4. Add the two like fractions:
    30/1260 + 280/1260 = 30 + 280/1260 = 310/1260
  5. 310/1260 simplified gives 31/126
  6. So, 2/84 + 10/45 = 31/126

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