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Add 4/10 and 27/49

4/10 + 27/49 is 233/245.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 49 is 490

    Next, find the equivalent fraction of both fractional numbers with denominator 490
  2. For the 1st fraction, since 10 × 49 = 490,
    4/10 = 4 × 49/10 × 49 = 196/490
  3. Likewise, for the 2nd fraction, since 49 × 10 = 490,
    27/49 = 27 × 10/49 × 10 = 270/490
  4. Add the two like fractions:
    196/490 + 270/490 = 196 + 270/490 = 466/490
  5. 466/490 simplified gives 233/245
  6. So, 4/10 + 27/49 = 233/245

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