Answer:
[tex]x=\frac{48}{90}[/tex]
Step-by-step explanation:
0.53, find the simplified fraction
0.53 can be written as [tex]\frac{0.53}{1}[/tex]
Here 3 is repeating
[tex]x = 0.533333........[/tex]
Multiply by 10
[tex]10x= 5.3333333[/tex]
Now we subtract first equation
[tex]10x= 5.3333333[/tex]
[tex]x = 0.533333........[/tex]
[tex]--------------------------------------[/tex]
[tex]9x=4.797...[/tex]
[tex]9x=4.8[/tex]
Divide by 9 on both sides
[tex]x=\frac{4.8}{9}[/tex]
Now multiply top and bottom by 10
[tex]x=\frac{48}{90}[/tex]
