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Add 49/10 and 42/27

1st number: 4 9/10, 2nd number: 1 15/27

49/10 + 42/27 is 581/90.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 27 is 270

    Next, find the equivalent fraction of both fractional numbers with denominator 270
  2. For the 1st fraction, since 10 × 27 = 270,
    49/10 = 49 × 27/10 × 27 = 1323/270
  3. Likewise, for the 2nd fraction, since 27 × 10 = 270,
    42/27 = 42 × 10/27 × 10 = 420/270
  4. Add the two like fractions:
    1323/270 + 420/270 = 1323 + 420/270 = 1743/270
  5. 1743/270 simplified gives 581/90
  6. So, 49/10 + 42/27 = 581/90
    In mixed form: 641/90

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