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Add 30/8 and 40/45

1st number: 3 6/8, 2nd number: 40/45

30/8 + 40/45 is 167/36.

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,
    30/8 = 30 × 45/8 × 45 = 1350/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    40/45 = 40 × 8/45 × 8 = 320/360
  4. Add the two like fractions:
    1350/360 + 320/360 = 1350 + 320/360 = 1670/360
  5. 1670/360 simplified gives 167/36
  6. So, 30/8 + 40/45 = 167/36
    In mixed form: 423/36

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