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 ,
where b,d≠0
Given:
![\_:11=(1)/(3) :6](https://img.qammunity.org/2019/formulas/mathematics/high-school/33uzl6qze6vlcmrmfrdnry485nlkya17ho.png)
![x:11=(1)/(3) :6](https://img.qammunity.org/2019/formulas/mathematics/high-school/t25c5xns08jbeibayniv2etdr0ouoyryms.png)
to find the value of x:
we can write above expression as :
![(x)/(11) =((1)/(3))/(6)](https://img.qammunity.org/2019/formulas/mathematics/high-school/vq9n7wefm2f9bicu9fomza7h7omk83najh.png)
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)](https://img.qammunity.org/2019/formulas/mathematics/high-school/bc2hijixvw5lj5s3n8q4f5ay33dlytst12.png)
On simplifying:
![x=(11)/(3\cdot 6)=(11)/(18)](https://img.qammunity.org/2019/formulas/mathematics/high-school/xa4jjoozmy7m6c4gz00ugf7w2e0sa3cti1.png)
Therefore, the value of x is,
![(11)/(18)](https://img.qammunity.org/2019/formulas/mathematics/high-school/n6kmmh1dkn0vgmg3jvigx2anzwroqm14yr.png)