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Add 24/45 and 21/24

24/45 + 21/24 is 169/120.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 45 × 8 = 360,
    24/45 = 24 × 8/45 × 8 = 192/360
  3. Likewise, for the 2nd fraction, since 24 × 15 = 360,
    21/24 = 21 × 15/24 × 15 = 315/360
  4. Add the two like fractions:
    192/360 + 315/360 = 192 + 315/360 = 507/360
  5. 507/360 simplified gives 169/120
  6. So, 24/45 + 21/24 = 169/120
    In mixed form: 149/120

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