Answer:
[tex]x=\frac{83}{36}[/tex]
Step-by-step explanation:
1) Convert [tex]2\frac{1}{4}[/tex] to improper fraction. Use this rule: [tex]a\frac{b}{c} =\frac{ac+b}{c}[/tex].
[tex]x-\frac{2\times4+1}{4} = \frac{1}{18}[/tex]
2) Simplify [tex]2\times4[/tex] to 8.
[tex]x-\frac{8+1}{4} =\frac{1}{18}[/tex]
3) Simplify [tex]8+1[/tex] to 9.
[tex]x-\frac{9}{4} =\frac{1}{18}[/tex]
4) Add [tex]\frac{9}{4}[/tex] to both sides.
[tex]x=\frac{1}{18} +\frac{9}{4}[/tex]
5) Simplify [tex]\frac{1}{18} +\frac{9}{4}[/tex] to [tex]\frac{83}{36}[/tex].
[tex]x=\frac{83}{36}[/tex]
Decimal Form: 2.305556
