Q:

How to convert 3.248 repeating decimal with 48 repeating into a simplified fraction

Accepted Solution

A:
Answer:[tex]x=\frac{536}{165}[/tex]Step-by-step explanation:Let X be the value of 3.2484848.... infinite timesMultiply by 100[tex]x=3.24848....\\100x = 324.8484.....[/tex]Subtract to get[tex]100x-x = 324.8484...-3.248484....\\99x = 321.60\\x=\frac{321.6}{99} \\x=\frac{1072}{330} \\x=\frac{536}{165}[/tex]Thus the number 3.248 repeating decimal with 48 repeating in fraction form is[tex]\frac{536}{165}[/tex]