l 3.54repeating repeating decimal
Enter Repeating Decimal

Answer
39/11

↓Steps Explained:↓



Evaluate the following repeating decimal

3.54

Evaluate the repeated piece

The repeated piece 54 has a length of 2

Therefore, we setup two equations

Equation 1: x = 3.54

Equation 2: 100x = 102 100x 3.54
100x = 100 x 3.54
100x = 354

Subtract equations

Therefore, we have 100x - x = 354.54 - 3.54

99x = 351

Divide each side by 99

99x
99
=
  
351
99

x  =  351
  99

Simplify using a GCF of 9

351/9
99/9

Final Answer

39/11

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