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Add 9/21 and 21/49

9/21 + 21/49 is 6/7.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 49 is 147
  2. For the 1st fraction, since 21 × 7 = 147,
    9/21 = 9 × 7/21 × 7 = 63/147
  3. Likewise, for the 2nd fraction, since 49 × 3 = 147,
    21/49 = 21 × 3/49 × 3 = 63/147
  4. Add the two fractions:
    63/147 + 63/147 = 63 + 63/147 = 126/147
  5. 126/147 simplified gives 6/7
  6. So, 9/21 + 21/49 = 6/7

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