30/5 divided by 55/6

30/5 ÷ 55/6
=
36 55
Decimal: 0.654545
Percentage: 65.45%

Step-by-Step Solution

  1. 1
    Take reciprocal of second fraction
    55/6 becomes 6/55
  2. 2
    Multiply by reciprocal
    30/5 × 6/55
  3. 3
    Multiply numerators & denominators
    30 × 6 = 180    5 × 55 = 275
  4. 4
    Simplify
    180/275 = 36/55

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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