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Add 20/28 and 42/45

20/28 + 42/45 is 173/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 45 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 28 × 45 = 1260,
    20/28 = 20 × 45/28 × 45 = 900/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    42/45 = 42 × 28/45 × 28 = 1176/1260
  4. Add the two like fractions:
    900/1260 + 1176/1260 = 900 + 1176/1260 = 2076/1260
  5. 2076/1260 simplified gives 173/105
  6. So, 20/28 + 42/45 = 173/105
    In mixed form: 168/105

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