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Add 45/72 and 20/42

45/72 + 20/42 is 185/168.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 72 and 42 is 504

    Next, find the equivalent fraction of both fractional numbers with denominator 504
  2. For the 1st fraction, since 72 × 7 = 504,
    45/72 = 45 × 7/72 × 7 = 315/504
  3. Likewise, for the 2nd fraction, since 42 × 12 = 504,
    20/42 = 20 × 12/42 × 12 = 240/504
  4. Add the two like fractions:
    315/504 + 240/504 = 315 + 240/504 = 555/504
  5. 555/504 simplified gives 185/168
  6. So, 45/72 + 20/42 = 185/168
    In mixed form: 117/168

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