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Add 21/40 and 9/56

21/40 + 9/56 is 24/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 56 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 40 × 7 = 280,
    21/40 = 21 × 7/40 × 7 = 147/280
  3. Likewise, for the 2nd fraction, since 56 × 5 = 280,
    9/56 = 9 × 5/56 × 5 = 45/280
  4. Add the two like fractions:
    147/280 + 45/280 = 147 + 45/280 = 192/280
  5. 192/280 simplified gives 24/35
  6. So, 21/40 + 9/56 = 24/35

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