55/4 divided by 7/4

55/4 ÷ 7/4
=
55 7
Mixed Number: 7 6/7
Decimal: 7.857143
Percentage: 785.71%

Step-by-Step Solution

  1. 1
    Take reciprocal of second fraction
    7/4 becomes 4/7
  2. 2
    Multiply by reciprocal
    55/4 × 4/7
  3. 3
    Multiply numerators & denominators
    55 × 4 = 220    4 × 7 = 28
  4. 4
    Simplify
    220/28 = 55/7

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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