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Add 21/8 and 45/35

1st number: 2 5/8, 2nd number: 1 10/35

21/8 + 45/35 is 219/56.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 8 and 35 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 8 × 35 = 280,
    21/8 = 21 × 35/8 × 35 = 735/280
  3. Likewise, for the 2nd fraction, since 35 × 8 = 280,
    45/35 = 45 × 8/35 × 8 = 360/280
  4. Add the two like fractions:
    735/280 + 360/280 = 735 + 360/280 = 1095/280
  5. 1095/280 simplified gives 219/56
  6. So, 21/8 + 45/35 = 219/56
    In mixed form: 351/56

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