Question

__: 11 = 1/3 : 6 is a math problem about ratios. Please solve!!

Answer 1

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 ,

`(a)/(b)= (c)/(d)` where b,d≠0

Given:
`\_:11=(1)/(3) :6`

`x:11=(1)/(3) :6`

to find the value of x:

we can write above expression as :
`(x)/(11) =((1)/(3))/(6)`

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:

`6\cdot x=(11)/(3)`

On simplifying:

`x=(11)/(3\cdot 6)=(11)/(18)`

Therefore, the value of x is,
`(11)/(18)`