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Add 5/21 and 42/45

5/21 + 42/45 is 41/35.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 21 × 15 = 315,
    5/21 = 5 × 15/21 × 15 = 75/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    42/45 = 42 × 7/45 × 7 = 294/315
  4. Add the two like fractions:
    75/315 + 294/315 = 75 + 294/315 = 369/315
  5. 369/315 simplified gives 41/35
  6. So, 5/21 + 42/45 = 41/35
    In mixed form: 16/35

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