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Add 21/35 and 21/45

21/35 + 21/45 is 16/15.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 35 × 9 = 315,
    21/35 = 21 × 9/35 × 9 = 189/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    21/45 = 21 × 7/45 × 7 = 147/315
  4. Add the two like fractions:
    189/315 + 147/315 = 189 + 147/315 = 336/315
  5. 336/315 simplified gives 16/15
  6. So, 21/35 + 21/45 = 16/15
    In mixed form: 11/15

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