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Add 7/20 and 45/84

7/20 + 45/84 is 31/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 84 is 420

    Next, find the equivalent fraction of both fractional numbers with denominator 420
  2. For the 1st fraction, since 20 × 21 = 420,
    7/20 = 7 × 21/20 × 21 = 147/420
  3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
    45/84 = 45 × 5/84 × 5 = 225/420
  4. Add the two like fractions:
    147/420 + 225/420 = 147 + 225/420 = 372/420
  5. 372/420 simplified gives 31/35
  6. So, 7/20 + 45/84 = 31/35

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