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Add 5/84 and 40/50

5/84 + 40/50 is 361/420.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 50 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 84 × 25 = 2100,
    5/84 = 5 × 25/84 × 25 = 125/2100
  3. Likewise, for the 2nd fraction, since 50 × 42 = 2100,
    40/50 = 40 × 42/50 × 42 = 1680/2100
  4. Add the two like fractions:
    125/2100 + 1680/2100 = 125 + 1680/2100 = 1805/2100
  5. 1805/2100 simplified gives 361/420
  6. So, 5/84 + 40/50 = 361/420

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