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Add 7/21 and 21/45

7/21 + 21/45 is 4/5.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 45 is 315
  2. For the 1st fraction, since 21 × 15 = 315,
    7/21 = 7 × 15/21 × 15 = 105/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    21/45 = 21 × 7/45 × 7 = 147/315
  4. Add the two fractions:
    105/315 + 147/315 = 105 + 147/315 = 252/315
  5. 252/315 simplified gives 4/5
  6. So, 7/21 + 21/45 = 4/5

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