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Add 1/4 and 7/49

1/4 + 7/49 is 11/28.

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,
    1/4 = 1 × 49/4 × 49 = 49/196
  3. Likewise, for the 2nd fraction, since 49 × 4 = 196,
    7/49 = 7 × 4/49 × 4 = 28/196
  4. Add the two like fractions:
    49/196 + 28/196 = 49 + 28/196 = 77/196
  5. 77/196 simplified gives 11/28
  6. So, 1/4 + 7/49 = 11/28

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