Question

How do you solve \[\dfrac{7}{{12}} = \dfrac{x}{9}\]?

Answer 1

Hint:To solve this question we have to find the value of the variable \[x\]. We have to solve the given equation.
First, we take 9 on another side of equal to in multiplication. Then we cut the factor of 3 from the numerator and denominator and then we multiply the number and then divide that number to find the value in the decimal format and that is the value of \[x\] satisfying the equation.

Complete step by step answer:
We have given a equation \[\dfrac{7}{{12}} = \dfrac{x}{9}\]
To find,
The value of the unknown variable \[x\].
\[\dfrac{7}{{12}} = \dfrac{x}{9}\] (given equation)……(i)
Now we are going to 9 on another side in multiplication.
\[\dfrac{7}{{12}} \times 9 = x\]
On canceling 3 from numerator and denominator
\[\dfrac{7}{4} \times 3 = x\]
We multiply 7 and 3 for the next step.
On multiplying the number.
\[\dfrac{{21}}{4} = x\]
If the answer is given in the decimal format then we divide this and put the value of x in decimal format.
\[x = 5.25\]
The value of the \[x\] comes from the given equation is
\[ x = 5.25\]

Note: Although this question is very easy we have to do calculations only. There is another way to solve this question. That is the same as this but we are first to cross multiplying the given relation and rearrange the equation and then we find the answer. If more mathematical operators are given then only the length of calculation is increasing, not the difficulty level. The difficulty level is increasing if the power of the variable increases then it is possible that we get more values of \[x\] which satisfies the equation.