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Add 10/16 and 40/45

10/16 + 40/45 is 109/72.

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,
    10/16 = 10 × 45/16 × 45 = 450/720
  3. Likewise, for the 2nd fraction, since 45 × 16 = 720,
    40/45 = 40 × 16/45 × 16 = 640/720
  4. Add the two like fractions:
    450/720 + 640/720 = 450 + 640/720 = 1090/720
  5. 1090/720 simplified gives 109/72
  6. So, 10/16 + 40/45 = 109/72
    In mixed form: 137/72

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