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Add 4/35 and 42/96

4/35 + 42/96 is 309/560.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 96 is 3360

    Next, find the equivalent fraction of both fractional numbers with denominator 3360
  2. For the 1st fraction, since 35 × 96 = 3360,
    4/35 = 4 × 96/35 × 96 = 384/3360
  3. Likewise, for the 2nd fraction, since 96 × 35 = 3360,
    42/96 = 42 × 35/96 × 35 = 1470/3360
  4. Add the two like fractions:
    384/3360 + 1470/3360 = 384 + 1470/3360 = 1854/3360
  5. 1854/3360 simplified gives 309/560
  6. So, 4/35 + 42/96 = 309/560

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