31 Divided by What Equals 22?
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 22?
Solving 31 Divided by What Equals 22
Here’s how you would set up this question as an equation:
31
x
=
22
\frac{31}{x} = 22
x 31 = 22
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
=
22
∗
x
31 = 22*x
31 = 22 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 22:
31
22
=
x
\frac{31}{22} = x
22 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
=
1.409
x = 1.409
x = 1.409
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 33 equals 98?
23 divided by what equals 73?
What is 11/12 divided by 71?
What is 6/5 divided by 4/20?
What is 70 divided by 2/15?