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Add 21/42 and 21/45

21/42 + 21/45 is 29/30.

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,
    21/42 = 21 × 15/42 × 15 = 315/630
  3. Likewise, for the 2nd fraction, since 45 × 14 = 630,
    21/45 = 21 × 14/45 × 14 = 294/630
  4. Add the two like fractions:
    315/630 + 294/630 = 315 + 294/630 = 609/630
  5. 609/630 simplified gives 29/30
  6. So, 21/42 + 21/45 = 29/30

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