What is x when 38 divided by x equals 30?

In other words, what would the divisor be if the dividend were 38 and the quotient 30?

To find the answer, just divide the dividend by the quotient: 38 ÷ 30 = 1.2666666666667

To prove this, let's compute 38 divided by 1.2666666666667: 38 1.2666666666667 = 30

How does it work?

Asking what the value of x could be when 38 divided by x gives a result of 30, is equivalent to solving the following equation:

38 x = 30

  1. Multiply both sides by x: 38 x x = 30 x
  2. 38 x x is equivalent to x x × 38 , which simplifies to 1 × 38 (or just 38 ).
  3. Thus, the equation becomes: 38 = 30 x
  4. To find x, divide both sides by 30: 38 30 = 30 x 30
  5. Which gives, after simplification: 1.2666666666667 = x (or x = 1.2666666666667 )

So, if the dividend is 38 and the quotient is 30, the divisor is 1.2666666666667.