75 Divided by What Equals 6?
Methods
Setting up the problem:
In a problem like this, the “what” means that we’re working with a variable. The most common variable used in math is “x”. So we could say what number, x can we divide 75 by to equal 6?
Solving 75 Divided by What Equals 6
Here’s how you would set up this question as an equation:
75
x
=
6
\frac{75}{x} = 6
x 75 = 6
The goal of the problem is to solve for x. To do this we need to change the equation so that x is alone on one side of the equation.In this case, it can be done in two steps. The first step is to multiply both sides by x to isolate 75:
75
=
6
∗
x
75 = 6*x
75 = 6 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 6:
75
6
=
x
\frac{75}{6} = x
6 75 = x
When we simplify the new equation, we can solve for x. In this example, we will round to the nearest three decimal places if that’s needed.
x
=
12.500
x = 12.500
x = 12.500
Practice Other Division Problems Like This One
If this problem was a little difficult or you want to practice your skills on another one, give it a go on any one of these too!
What divided by 97 equals 30?
12 divided by what equals 87?
What is 5/13 divided by 95?
What is 1/14 divided by 2/10?
What is 4 divided by 19/7?