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Add 21/45 and 10/42

21/45 + 10/42 is 74/105.

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,
    21/45 = 21 × 14/45 × 14 = 294/630
  3. Likewise, for the 2nd fraction, since 42 × 15 = 630,
    10/42 = 10 × 15/42 × 15 = 150/630
  4. Add the two like fractions:
    294/630 + 150/630 = 294 + 150/630 = 444/630
  5. 444/630 simplified gives 74/105
  6. So, 21/45 + 10/42 = 74/105

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