55/4 divided by 49/5

55/4 ÷ 49/5
=
275 196
Mixed Number: 1 79/196
Decimal: 1.403061
Percentage: 140.31%

Step-by-Step Solution

  1. 1
    Take reciprocal of second fraction
    49/5 becomes 5/49
  2. 2
    Multiply by reciprocal
    55/4 × 5/49
  3. 3
    Multiply numerators & denominators
    55 × 5 = 275    4 × 49 = 196
  4. 4
    Simplify
    275/196 = 275/196

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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