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Add 20/45 and 35/42

20/45 + 35/42 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,
    20/45 = 20 × 14/45 × 14 = 280/630
  3. Likewise, for the 2nd fraction, since 42 × 15 = 630,
    35/42 = 35 × 15/42 × 15 = 525/630
  4. Add the two like fractions:
    280/630 + 525/630 = 280 + 525/630 = 805/630
  5. 805/630 simplified gives 23/18
  6. So, 20/45 + 35/42 = 23/18
    In mixed form: 15/18

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