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Add 21/35 and 8/45

21/35 + 8/45 is 7/9.

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,
    8/45 = 8 × 7/45 × 7 = 56/315
  4. Add the two like fractions:
    189/315 + 56/315 = 189 + 56/315 = 245/315
  5. 245/315 simplified gives 7/9
  6. So, 21/35 + 8/45 = 7/9

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