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Add 20/45 and 40/49

20/45 + 40/49 is 556/441.

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,
    20/45 = 20 × 49/45 × 49 = 980/2205
  3. Likewise, for the 2nd fraction, since 49 × 45 = 2205,
    40/49 = 40 × 45/49 × 45 = 1800/2205
  4. Add the two like fractions:
    980/2205 + 1800/2205 = 980 + 1800/2205 = 2780/2205
  5. 2780/2205 simplified gives 556/441
  6. So, 20/45 + 40/49 = 556/441
    In mixed form: 1115/441

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