What Divided by 4 Equals 31?
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, when divided by 4, equals 31?
Solving What Divided by 4 Equals 31
Here’s how you would set up this question as an equation:
x
4
=
31
\frac{x}{4} = 31
4 x = 31
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, we can do that by multiplying both sides of the equation by 4, resulting in this equation:
x
=
31
∗
4
x = 31*4
x = 31 ∗ 4
Then we simplify and find our answer:
x
=
124
x = 124
x = 124
So, the answer to the question “What divided by 4 equals 31?” is 124.To prove this, we can take the original problem:
x
4
=
31
\frac{x}{4} = 31
4 x = 31
And insert 124 in the place of x:
124
4
=
31
\frac{124}{4} = 31
4 124 = 31
Because this is true, the answer must be correct.
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 25 equals 40?
17 divided by what equals 36?
What is 16/6 divided by 43?
What is 15/1 divided by 11/8?
What is 45 divided by 20/2?