What is x when 90 divided by x equals 40?

In other words, what would the divisor be if the dividend were 90 and the quotient 40?

To find the answer, just divide the dividend by the quotient: 90 ÷ 40 = 2.25

To prove this, let's compute 90 divided by 2.25: 90 2.25 = 40

How does it work?

Asking what the value of x could be when 90 divided by x gives a result of 40, is equivalent to solving the following equation:

90 x = 40

  1. Multiply both sides by x: 90 x x = 40 x
  2. 90 x x is equivalent to x x × 90 , which simplifies to 1 × 90 (or just 90 ).
  3. Thus, the equation becomes: 90 = 40 x
  4. To find x, divide both sides by 40: 90 40 = 40 x 40
  5. Which gives, after simplification: 2.25 = x (or x = 2.25 )

So, if the dividend is 90 and the quotient is 40, the divisor is 2.25.