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Add 64/75 and 20/72

64/75 + 20/72 is 509/450.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 72 is 1800

    Next, find the equivalent fraction of both fractional numbers with denominator 1800
  2. For the 1st fraction, since 75 × 24 = 1800,
    64/75 = 64 × 24/75 × 24 = 1536/1800
  3. Likewise, for the 2nd fraction, since 72 × 25 = 1800,
    20/72 = 20 × 25/72 × 25 = 500/1800
  4. Add the two like fractions:
    1536/1800 + 500/1800 = 1536 + 500/1800 = 2036/1800
  5. 2036/1800 simplified gives 509/450
  6. So, 64/75 + 20/72 = 509/450
    In mixed form: 159/450

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