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Add 7/4 and 35/49

1st number: 1 3/4, 2nd number: 35/49

7/4 + 35/49 is 69/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 4 and 49 is 196

    Next, find the equivalent fraction of both fractional numbers with denominator 196
  2. For the 1st fraction, since 4 × 49 = 196,
    7/4 = 7 × 49/4 × 49 = 343/196
  3. Likewise, for the 2nd fraction, since 49 × 4 = 196,
    35/49 = 35 × 4/49 × 4 = 140/196
  4. Add the two like fractions:
    343/196 + 140/196 = 343 + 140/196 = 483/196
  5. 483/196 simplified gives 69/28
  6. So, 7/4 + 35/49 = 69/28
    In mixed form: 213/28

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