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Add 21/2 and 40/45

1st number: 10 1/2, 2nd number: 40/45

21/2 + 40/45 is 205/18.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 2 and 45 is 90

    Next, find the equivalent fraction of both fractional numbers with denominator 90
  2. For the 1st fraction, since 2 × 45 = 90,
    21/2 = 21 × 45/2 × 45 = 945/90
  3. Likewise, for the 2nd fraction, since 45 × 2 = 90,
    40/45 = 40 × 2/45 × 2 = 80/90
  4. Add the two like fractions:
    945/90 + 80/90 = 945 + 80/90 = 1025/90
  5. 1025/90 simplified gives 205/18
  6. So, 21/2 + 40/45 = 205/18
    In mixed form: 117/18

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