What is x when 83 divided by x equals 9?
In other words, what would the divisor be if the dividend were 83 and the quotient 9?
To find the answer, just divide the dividend by the quotient: 83 ÷ 9 = 9.2222222222222
To prove this, let's compute 83 divided by 9.2222222222222:
How does it work?
Asking what the value of x could be when 83 divided by x gives a result of 9, is equivalent to solving the following equation:
- Multiply both sides by x:
- is equivalent to , which simplifies to (or just ).
- Thus, the equation becomes:
- To find x, divide both sides by 9:
- Which gives, after simplification: (or )
So, if the dividend is 83 and the quotient is 9, the divisor is 9.2222222222222.