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Add 21/45 and 18/35

21/45 + 18/35 is 103/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 35 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 45 × 7 = 315,
    21/45 = 21 × 7/45 × 7 = 147/315
  3. Likewise, for the 2nd fraction, since 35 × 9 = 315,
    18/35 = 18 × 9/35 × 9 = 162/315
  4. Add the two like fractions:
    147/315 + 162/315 = 147 + 162/315 = 309/315
  5. 309/315 simplified gives 103/105
  6. So, 21/45 + 18/35 = 103/105

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