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Add 1/21 and 21/45

1/21 + 21/45 is 18/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 45 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 21 × 15 = 315,
    1/21 = 1 × 15/21 × 15 = 15/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    21/45 = 21 × 7/45 × 7 = 147/315
  4. Add the two like fractions:
    15/315 + 147/315 = 15 + 147/315 = 162/315
  5. 162/315 simplified gives 18/35
  6. So, 1/21 + 21/45 = 18/35

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