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Add 72/84 and 27/45

72/84 + 27/45 is 51/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 45 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    72/84 = 72 × 15/84 × 15 = 1080/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    27/45 = 27 × 28/45 × 28 = 756/1260
  4. Add the two like fractions:
    1080/1260 + 756/1260 = 1080 + 756/1260 = 1836/1260
  5. 1836/1260 simplified gives 51/35
  6. So, 72/84 + 27/45 = 51/35
    In mixed form: 116/35

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