40/3 divided by 9/4

40/3 ÷ 9/4
=
160 27
Mixed Number: 5 25/27
Decimal: 5.925926
Percentage: 592.59%

Step-by-Step Solution

  1. 1
    Take reciprocal of second fraction
    9/4 becomes 4/9
  2. 2
    Multiply by reciprocal
    40/3 × 4/9
  3. 3
    Multiply numerators & denominators
    40 × 4 = 160    3 × 9 = 27
  4. 4
    Simplify
    160/27 = 160/27

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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