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Add 49/40 and 21/45

1st number: 1 9/40, 2nd number: 21/45

49/40 + 21/45 is 203/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 45 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 40 × 9 = 360,
    49/40 = 49 × 9/40 × 9 = 441/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    21/45 = 21 × 8/45 × 8 = 168/360
  4. Add the two like fractions:
    441/360 + 168/360 = 441 + 168/360 = 609/360
  5. 609/360 simplified gives 203/120
  6. So, 49/40 + 21/45 = 203/120
    In mixed form: 183/120

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