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Add 35/27 and 42/40

1st number: 1 8/27, 2nd number: 1 2/40

35/27 + 42/40 is 1267/540.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 40 is 1080

    Next, find the equivalent fraction of both fractional numbers with denominator 1080
  2. For the 1st fraction, since 27 × 40 = 1080,
    35/27 = 35 × 40/27 × 40 = 1400/1080
  3. Likewise, for the 2nd fraction, since 40 × 27 = 1080,
    42/40 = 42 × 27/40 × 27 = 1134/1080
  4. Add the two like fractions:
    1400/1080 + 1134/1080 = 1400 + 1134/1080 = 2534/1080
  5. 2534/1080 simplified gives 1267/540
  6. So, 35/27 + 42/40 = 1267/540
    In mixed form: 2187/540

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