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Add 4/49 and 75/40

1st number: 4/49, 2nd number: 1 35/40

4/49 + 75/40 is 767/392.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1960
  2. For the 1st fraction, since 49 × 40 = 1960,
    4/49 = 4 × 40/49 × 40 = 160/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    75/40 = 75 × 49/40 × 49 = 3675/1960
  4. Add the two like fractions:
    160/1960 + 3675/1960 = 160 + 3675/1960 = 3835/1960
  5. 3835/1960 simplified gives 767/392
  6. So, 4/49 + 75/40 = 767/392
    In mixed form: 1375/392

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