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Add 75/16 and 10/45

1st number: 4 11/16, 2nd number: 10/45

75/16 + 10/45 is 707/144.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 16 and 45 is 720

    Next, find the equivalent fraction of both fractional numbers with denominator 720
  2. For the 1st fraction, since 16 × 45 = 720,
    75/16 = 75 × 45/16 × 45 = 3375/720
  3. Likewise, for the 2nd fraction, since 45 × 16 = 720,
    10/45 = 10 × 16/45 × 16 = 160/720
  4. Add the two like fractions:
    3375/720 + 160/720 = 3375 + 160/720 = 3535/720
  5. 3535/720 simplified gives 707/144
  6. So, 75/16 + 10/45 = 707/144
    In mixed form: 4131/144

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