0.0632
Explanation:[tex]\begin{gathered} \text{Given:} \\ 6\text{ }\frac{8}{25}\text{ \%} \end{gathered}[/tex]To convert to decimal, we will first convert the mixed fraction into improper fraction:
[tex]\begin{gathered} 6\frac{8}{25}\text{ = }\frac{\text{(6}\times25)+8\text{ }}{25}\text{= }\frac{\text{158}}{25} \\ \\ 6\frac{8}{25}\text{ \% = }\frac{\text{158}}{25}\text{ \%} \end{gathered}[/tex][tex]\begin{gathered} we\text{ will divide by 100 to remove the percentage:} \\ \frac{158}{25}\text{ \% = }\frac{158}{25}\times\frac{1}{100}\text{ = }\frac{158}{2500} \\ \\ in\text{ decimal, }\frac{158}{2500}\text{ = 0.0632} \end{gathered}[/tex]