What is x when 53 divided by x equals 46?
In other words, what would the divisor be if the dividend were 53 and the quotient 46?
To find the answer, just divide the dividend by the quotient: 53 ÷ 46 = 1.1521739130435
To prove this, let's compute 53 divided by 1.1521739130435:
How does it work?
Asking what the value of x could be when 53 divided by x gives a result of 46, 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 46:
- Which gives, after simplification: (or )
So, if the dividend is 53 and the quotient is 46, the divisor is 1.1521739130435.