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Add 10/24 and 16/45

10/24 + 16/45 is 139/180.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 24 and 45 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 24 × 15 = 360,
    10/24 = 10 × 15/24 × 15 = 150/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    16/45 = 16 × 8/45 × 8 = 128/360
  4. Add the two like fractions:
    150/360 + 128/360 = 150 + 128/360 = 278/360
  5. 278/360 simplified gives 139/180
  6. So, 10/24 + 16/45 = 139/180

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