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Add 7/40 and 45/84

7/40 + 45/84 is 199/280.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 84 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 40 × 21 = 840,
    7/40 = 7 × 21/40 × 21 = 147/840
  3. Likewise, for the 2nd fraction, since 84 × 10 = 840,
    45/84 = 45 × 10/84 × 10 = 450/840
  4. Add the two like fractions:
    147/840 + 450/840 = 147 + 450/840 = 597/840
  5. 597/840 simplified gives 199/280
  6. So, 7/40 + 45/84 = 199/280

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