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Add 3/40 and 48/63

3/40 + 48/63 is 703/840.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 63 is 2520

    Next, find the equivalent fraction of both fractional numbers with denominator 2520
  2. For the 1st fraction, since 40 × 63 = 2520,
    3/40 = 3 × 63/40 × 63 = 189/2520
  3. Likewise, for the 2nd fraction, since 63 × 40 = 2520,
    48/63 = 48 × 40/63 × 40 = 1920/2520
  4. Add the two like fractions:
    189/2520 + 1920/2520 = 189 + 1920/2520 = 2109/2520
  5. 2109/2520 simplified gives 703/840
  6. So, 3/40 + 48/63 = 703/840

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