What is x when 54 divided by x equals 12?
In other words, what would the divisor be if the dividend were 54 and the quotient 12?
To find the answer, just divide the dividend by the quotient: 54 ÷ 12 = 4.5
To prove this, let's compute 54 divided by 4.5:
How does it work?
Asking what the value of x could be when 54 divided by x gives a result of 12, 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 12:
- Which gives, after simplification: (or )
So, if the dividend is 54 and the quotient is 12, the divisor is 4.5.