Respuesta :
Answer:
A proportion is an equation that says that the two ratios are equivalent.
A proportion is read as a is to b as c is to d ,
[tex]\frac{a}{b}= \frac{c}{d}[/tex] where b,d≠0
Given: [tex]\_:11=\frac{1}{3} :6[/tex]
[tex]x:11=\frac{1}{3} :6[/tex]
to find the value of x:
we can write above expression as : [tex]\frac{x}{11} =\frac{\frac{1}{3}}{6}[/tex]
Cross- Multiplication method: which means that we multiply the numerator of each side by the denominator of the other side.
Using cross multiplication method, we can solve the value of x:
[tex]6\cdot x=\frac{11}{3}[/tex]
On simplifying:
[tex]x=\frac{11}{3\cdot 6}=\frac{11}{18}[/tex]
Therefore, the value of x is, [tex]\frac{11}{18}[/tex]
