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Add 9/28 and 36/45

9/28 + 36/45 is 157/140.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 45 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 28 × 45 = 1260,
    9/28 = 9 × 45/28 × 45 = 405/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    36/45 = 36 × 28/45 × 28 = 1008/1260
  4. Add the two like fractions:
    405/1260 + 1008/1260 = 405 + 1008/1260 = 1413/1260
  5. 1413/1260 simplified gives 157/140
  6. So, 9/28 + 36/45 = 157/140
    In mixed form: 117/140

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