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Add 75/40 and 45/49

1st number: 1 35/40, 2nd number: 45/49

75/40 + 45/49 is 1095/392.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 49 is 1960

    Next, find the equivalent fraction of both fractional numbers with denominator 1960
  2. For the 1st fraction, since 40 × 49 = 1960,
    75/40 = 75 × 49/40 × 49 = 3675/1960
  3. Likewise, for the 2nd fraction, since 49 × 40 = 1960,
    45/49 = 45 × 40/49 × 40 = 1800/1960
  4. Add the two like fractions:
    3675/1960 + 1800/1960 = 3675 + 1800/1960 = 5475/1960
  5. 5475/1960 simplified gives 1095/392
  6. So, 75/40 + 45/49 = 1095/392
    In mixed form: 2311/392

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