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Add 3/5 and 35/49

3/5 + 35/49 is 46/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 5 and 49 is 245

    Next, find the equivalent fraction of both fractional numbers with denominator 245
  2. For the 1st fraction, since 5 × 49 = 245,
    3/5 = 3 × 49/5 × 49 = 147/245
  3. Likewise, for the 2nd fraction, since 49 × 5 = 245,
    35/49 = 35 × 5/49 × 5 = 175/245
  4. Add the two like fractions:
    147/245 + 175/245 = 147 + 175/245 = 322/245
  5. 322/245 simplified gives 46/35
  6. So, 3/5 + 35/49 = 46/35
    In mixed form: 111/35

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