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Add 1/45 and 21/49

1/45 + 21/49 is 142/315.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 49 is 2205

    Next, find the equivalent fraction of both fractional numbers with denominator 2205
  2. For the 1st fraction, since 45 × 49 = 2205,
    1/45 = 1 × 49/45 × 49 = 49/2205
  3. Likewise, for the 2nd fraction, since 49 × 45 = 2205,
    21/49 = 21 × 45/49 × 45 = 945/2205
  4. Add the two like fractions:
    49/2205 + 945/2205 = 49 + 945/2205 = 994/2205
  5. 994/2205 simplified gives 142/315
  6. So, 1/45 + 21/49 = 142/315

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