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Add 30/42 and 16/45

30/42 + 16/45 is 337/315.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 45 is 630

    Next, find the equivalent fraction of both fractional numbers with denominator 630
  2. For the 1st fraction, since 42 × 15 = 630,
    30/42 = 30 × 15/42 × 15 = 450/630
  3. Likewise, for the 2nd fraction, since 45 × 14 = 630,
    16/45 = 16 × 14/45 × 14 = 224/630
  4. Add the two like fractions:
    450/630 + 224/630 = 450 + 224/630 = 674/630
  5. 674/630 simplified gives 337/315
  6. So, 30/42 + 16/45 = 337/315
    In mixed form: 122/315

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