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Add 42/45 and 2/21

42/45 + 2/21 is 36/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 21 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 45 × 7 = 315,
    42/45 = 42 × 7/45 × 7 = 294/315
  3. Likewise, for the 2nd fraction, since 21 × 15 = 315,
    2/21 = 2 × 15/21 × 15 = 30/315
  4. Add the two like fractions:
    294/315 + 30/315 = 294 + 30/315 = 324/315
  5. 324/315 simplified gives 36/35
  6. So, 42/45 + 2/21 = 36/35
    In mixed form: 11/35

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