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Add 21/45 and 56/64

21/45 + 56/64 is 161/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 64 is 2880

    Next, find the equivalent fraction of both fractional numbers with denominator 2880
  2. For the 1st fraction, since 45 × 64 = 2880,
    21/45 = 21 × 64/45 × 64 = 1344/2880
  3. Likewise, for the 2nd fraction, since 64 × 45 = 2880,
    56/64 = 56 × 45/64 × 45 = 2520/2880
  4. Add the two like fractions:
    1344/2880 + 2520/2880 = 1344 + 2520/2880 = 3864/2880
  5. 3864/2880 simplified gives 161/120
  6. So, 21/45 + 56/64 = 161/120
    In mixed form: 141/120

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