Answer:
x = [tex]\frac{4}{25}[/tex]
Step-by-step explanation:
1 : x = 6 [tex]\frac{1}{4}[/tex] ← change to improper fraction
1 : x = [tex]\frac{25}{4}[/tex] , then
[tex]\frac{1}{x}[/tex] = [tex]\frac{25}{4}[/tex] ( cross- multiply )
25x = 4 ( divide both sides by 25 )
x = [tex]\frac{4}{25}[/tex]