Question

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

Answer 1

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 ,

$\frac{a}{b}= \frac{c}{d}$ where b,d≠0

Given: $\_:11=\frac{1}{3} :6$

$x:11=\frac{1}{3} :6$

to find the value of x:

we can write above expression as :  $\frac{x}{11} =\frac{\frac{1}{3}}{6}$

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:

$6\cdot x=\frac{11}{3}$

On simplifying:

$x=\frac{11}{3\cdot 6}=\frac{11}{18}$

Therefore, the value of x is, $\frac{11}{18}$