31 Divided by What Equals 66?
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 31 by to equal 66?
Solving 31 Divided by What Equals 66
Here’s how you would set up this question as an equation:
31
x
=
66
\frac{31}{x} = 66
x 31 = 66
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 31:
31
=
66
∗
x
31 = 66*x
31 = 66 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 66:
31
66
=
x
\frac{31}{66} = x
66 31 = 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
=
0.470
x = 0.470
x = 0.470
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 73 equals 70?
54 divided by what equals 75?
What is 9/14 divided by 34?
What is 6/15 divided by 17/7?
What is 42 divided by 2/5?