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Add 42/96 and 30/49

42/96 + 30/49 is 823/784.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 96 and 49 is 4704

    Next, find the equivalent fraction of both fractional numbers with denominator 4704
  2. For the 1st fraction, since 96 × 49 = 4704,
    42/96 = 42 × 49/96 × 49 = 2058/4704
  3. Likewise, for the 2nd fraction, since 49 × 96 = 4704,
    30/49 = 30 × 96/49 × 96 = 2880/4704
  4. Add the two like fractions:
    2058/4704 + 2880/4704 = 2058 + 2880/4704 = 4938/4704
  5. 4938/4704 simplified gives 823/784
  6. So, 42/96 + 30/49 = 823/784
    In mixed form: 139/784

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