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Add 35/45 and 21/42

35/45 + 21/42 is 23/18.

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,
    35/45 = 35 × 14/45 × 14 = 490/630
  3. Likewise, for the 2nd fraction, since 42 × 15 = 630,
    21/42 = 21 × 15/42 × 15 = 315/630
  4. Add the two like fractions:
    490/630 + 315/630 = 490 + 315/630 = 805/630
  5. 805/630 simplified gives 23/18
  6. So, 35/45 + 21/42 = 23/18
    In mixed form: 15/18

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