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Add 10/12 and 32/45

10/12 + 32/45 is 139/90.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 12 and 45 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 12 × 15 = 180,
    10/12 = 10 × 15/12 × 15 = 150/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    32/45 = 32 × 4/45 × 4 = 128/180
  4. Add the two like fractions:
    150/180 + 128/180 = 150 + 128/180 = 278/180
  5. 278/180 simplified gives 139/90
  6. So, 10/12 + 32/45 = 139/90
    In mixed form: 149/90

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