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Add 10/16 and 18/45

10/16 + 18/45 is 41/40.

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,
    18/45 = 18 × 16/45 × 16 = 288/720
  4. Add the two like fractions:
    450/720 + 288/720 = 450 + 288/720 = 738/720
  5. 738/720 simplified gives 41/40
  6. So, 10/16 + 18/45 = 41/40
    In mixed form: 11/40

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