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Add 4/10 and 21/56

4/10 + 21/56 is 31/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 56 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 10 × 28 = 280,
    4/10 = 4 × 28/10 × 28 = 112/280
  3. Likewise, for the 2nd fraction, since 56 × 5 = 280,
    21/56 = 21 × 5/56 × 5 = 105/280
  4. Add the two like fractions:
    112/280 + 105/280 = 112 + 105/280 = 217/280
  5. 217/280 simplified gives 31/40
  6. So, 4/10 + 21/56 = 31/40

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