What Divided by 31 Equals 9?
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 31, equals 9?
Solving What Divided by 31 Equals 9
Here’s how you would set up this question as an equation:
x
31
=
9
\frac{x}{31} = 9
31 x = 9
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 31, resulting in this equation:
x
=
9
∗
31
x = 9*31
x = 9 ∗ 31
Then we simplify and find our answer:
x
=
279
x = 279
x = 279
So, the answer to the question “What divided by 31 equals 9?” is 279.To prove this, we can take the original problem:
x
31
=
9
\frac{x}{31} = 9
31 x = 9
And insert 279 in the place of x:
279
31
=
9
\frac{279}{31} = 9
31 279 = 9
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 13 equals 76?
78 divided by what equals 50?
What is 5/13 divided by 26?
What is 3/19 divided by 18/20?
What is 4 divided by 6/2?