Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
[tex]n=0.\dot { 5 } \dot { 4 } \\ \\ \therefore \quad 100n=54.\dot { 5 } \dot { 4 } \\ \\ 100n-n\\ \\ =54.\dot { 5 } \dot { 4 } -0.\dot { 5 } \dot { 4 }[/tex]
[tex]\\ \\ =54\\ \\ =99n\\ \\ \therefore \quad 99n=54\\ \\ \therefore \quad n=\frac { 54 }{ 99 } =\frac { 18 }{ 33 } [/tex]
Now:
[tex]4.\dot { 5 } \dot { 4 } \\ \\ =4+\frac { 18 }{ 33 } \\ \\ =\frac { 132 }{ 33 } +\frac { 18 }{ 33 }[/tex]
[tex]\\ \\ =\frac { 150 }{ 33 } \\ \\ =\frac { 50 }{ 11 } \\ \\ \therefore \quad 4.\dot { 5 } \dot { 4 } =\frac { 50 }{ 11 } [/tex]
[tex]\\ \\ =54\\ \\ =99n\\ \\ \therefore \quad 99n=54\\ \\ \therefore \quad n=\frac { 54 }{ 99 } =\frac { 18 }{ 33 } [/tex]
Now:
[tex]4.\dot { 5 } \dot { 4 } \\ \\ =4+\frac { 18 }{ 33 } \\ \\ =\frac { 132 }{ 33 } +\frac { 18 }{ 33 }[/tex]
[tex]\\ \\ =\frac { 150 }{ 33 } \\ \\ =\frac { 50 }{ 11 } \\ \\ \therefore \quad 4.\dot { 5 } \dot { 4 } =\frac { 50 }{ 11 } [/tex]
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.
