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Add 6/21 and 42/45

6/21 + 42/45 is 128/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 45 is 315
  2. For the 1st fraction, since 21 × 15 = 315,
    6/21 = 6 × 15/21 × 15 = 90/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    42/45 = 42 × 7/45 × 7 = 294/315
  4. Add the two fractions:
    90/315 + 294/315 = 90 + 294/315 = 384/315
  5. 384/315 simplified gives 128/105
  6. So, 6/21 + 42/45 = 128/105
    In mixed form: 123/105

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