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Add 40/45 and 14/16

40/45 + 14/16 is 127/72.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 720
  2. For the 1st fraction, since 45 × 16 = 720,
    40/45 = 40 × 16/45 × 16 = 640/720
  3. Likewise, for the 2nd fraction, since 16 × 45 = 720,
    14/16 = 14 × 45/16 × 45 = 630/720
  4. Add the two like fractions:
    640/720 + 630/720 = 640 + 630/720 = 1270/720
  5. 1270/720 simplified gives 127/72
  6. So, 40/45 + 14/16 = 127/72
    In mixed form: 155/72

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