75/3 divided by 55/6

75/3 ÷ 55/6
=
30 11
Mixed Number: 2 8/11
Decimal: 2.727273
Percentage: 272.73%

Step-by-Step Solution

  1. 1
    Take reciprocal of second fraction
    55/6 becomes 6/55
  2. 2
    Multiply by reciprocal
    75/3 × 6/55
  3. 3
    Multiply numerators & denominators
    75 × 6 = 450    3 × 55 = 165
  4. 4
    Simplify
    450/165 = 30/11

How to Divide Fractions

To divide fractions, use "Keep, Change, Flip": keep the first fraction unchanged, change the ÷ to ×, then flip the second fraction. Multiply and simplify.

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