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Add 14/45 and 21/42

14/45 + 21/42 is 73/90.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 630
  2. For the 1st fraction, since 45 × 14 = 630,
    14/45 = 14 × 14/45 × 14 = 196/630
  3. Likewise, for the 2nd fraction, since 42 × 15 = 630,
    21/42 = 21 × 15/42 × 15 = 315/630
  4. Add the two like fractions:
    196/630 + 315/630 = 196 + 315/630 = 511/630
  5. 511/630 simplified gives 73/90
  6. So, 14/45 + 21/42 = 73/90

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