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Add 20/72 and 40/42

20/72 + 40/42 is 155/126.

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,
    20/72 = 20 × 7/72 × 7 = 140/504
  3. Likewise, for the 2nd fraction, since 42 × 12 = 504,
    40/42 = 40 × 12/42 × 12 = 480/504
  4. Add the two like fractions:
    140/504 + 480/504 = 140 + 480/504 = 620/504
  5. 620/504 simplified gives 155/126
  6. So, 20/72 + 40/42 = 155/126
    In mixed form: 129/126

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