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Add 40/30 and 75/16

1st number: 1 10/30, 2nd number: 4 11/16

40/30 + 75/16 is 289/48.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 16 is 240

    Next, find the equivalent fraction of both fractional numbers with denominator 240
  2. For the 1st fraction, since 30 × 8 = 240,
    40/30 = 40 × 8/30 × 8 = 320/240
  3. Likewise, for the 2nd fraction, since 16 × 15 = 240,
    75/16 = 75 × 15/16 × 15 = 1125/240
  4. Add the two like fractions:
    320/240 + 1125/240 = 320 + 1125/240 = 1445/240
  5. 1445/240 simplified gives 289/48
  6. So, 40/30 + 75/16 = 289/48
    In mixed form: 61/48

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