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Add 4/15 and 7/49

4/15 + 7/49 is 43/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 49 is 735

    Next, find the equivalent fraction of both fractional numbers with denominator 735
  2. For the 1st fraction, since 15 × 49 = 735,
    4/15 = 4 × 49/15 × 49 = 196/735
  3. Likewise, for the 2nd fraction, since 49 × 15 = 735,
    7/49 = 7 × 15/49 × 15 = 105/735
  4. Add the two like fractions:
    196/735 + 105/735 = 196 + 105/735 = 301/735
  5. 301/735 simplified gives 43/105
  6. So, 4/15 + 7/49 = 43/105

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