What is x when 16 divided by x equals 75?

In other words, what would the divisor be if the dividend were 16 and the quotient 75?

To find the answer, just divide the dividend by the quotient: 16 ÷ 75 = 0.21333333333333

To prove this, let's compute 16 divided by 0.21333333333333: 16 0.21333333333333 = 75

How does it work?

Asking what the value of x could be when 16 divided by x gives a result of 75, is equivalent to solving the following equation:

16 x = 75

  1. Multiply both sides by x: 16 x x = 75 x
  2. 16 x x is equivalent to x x × 16 , which simplifies to 1 × 16 (or just 16 ).
  3. Thus, the equation becomes: 16 = 75 x
  4. To find x, divide both sides by 75: 16 75 = 75 x 75
  5. Which gives, after simplification: 0.21333333333333 = x (or x = 0.21333333333333 )

So, if the dividend is 16 and the quotient is 75, the divisor is 0.21333333333333.