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Add 21/8 and 84/45

1st number: 2 5/8, 2nd number: 1 39/45

21/8 + 84/45 is 539/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 8 and 45 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 8 × 45 = 360,
    21/8 = 21 × 45/8 × 45 = 945/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    84/45 = 84 × 8/45 × 8 = 672/360
  4. Add the two like fractions:
    945/360 + 672/360 = 945 + 672/360 = 1617/360
  5. 1617/360 simplified gives 539/120
  6. So, 21/8 + 84/45 = 539/120
    In mixed form: 459/120

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