Respuesta :
Answer:
[tex]216x^5[/tex]
Step-by-step explanation:
We know that the denominator of the fraction is [tex]6x^5[/tex]
The numerator is unknown and the result of reducing the fraction is 36.
If we call N the numerator then:
[tex]\frac{N}{6x^5}=36[/tex]
Solve the equation for N
[tex]\frac{N}{6x^5}=36\\\\N = 36*6x^5\\\\N=216x^5[/tex]
Finally, the numerator is: [tex]216x^5[/tex]
Answer:
The numerator of the fraction is 216x^5
Step-by-step explanation:
* Lets explain how to solve the problem
- There is a fraction
- Its denominator is 6x^5
- The numerator is missing
- The simplest form for the answer is 36
* Lets change the information to calculation
- Assume the numerator is n
∴ n/6x^5 = 36
- There is no x in the answer
∴ The numerator must has x^5 to cancel the x^5 in the denominator
- Find the number which divided by 6 and the answer will be 36
∵ missing number/6 = 36 ⇒ by using cross multiplication
∴ missing number = 36 × 6 = 216
- Then n consists of 216 and x^5
∴ n = 216 x^5
∴ The numerator is 216x^5
- Lets check the answer
∵ The fraction is 216x^5/6x^5 ⇒ reduce the fraction
∵ 216/6 = 36
∵ x^5/x^5 = 1
∴ 216x^5/6x^5 = 36
∴ The numerator of the fraction is 216x^5