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Add 15/45 and 40/49

15/45 + 40/49 is 169/147.

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,
    15/45 = 15 × 49/45 × 49 = 735/2205
  3. Likewise, for the 2nd fraction, since 49 × 45 = 2205,
    40/49 = 40 × 45/49 × 45 = 1800/2205
  4. Add the two like fractions:
    735/2205 + 1800/2205 = 735 + 1800/2205 = 2535/2205
  5. 2535/2205 simplified gives 169/147
  6. So, 15/45 + 40/49 = 169/147
    In mixed form: 122/147

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