What Divided by 11 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 11, equals 9?
Solving What Divided by 11 Equals 9
Here’s how you would set up this question as an equation:
x
11
=
9
\frac{x}{11} = 9
11 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 11, resulting in this equation:
x
=
9
∗
11
x = 9*11
x = 9 ∗ 11
Then we simplify and find our answer:
x
=
99
x = 99
x = 99
So, the answer to the question “What divided by 11 equals 9?” is 99.To prove this, we can take the original problem:
x
11
=
9
\frac{x}{11} = 9
11 x = 9
And insert 99 in the place of x:
99
11
=
9
\frac{99}{11} = 9
11 99 = 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 73 equals 22?
29 divided by what equals 59?
What is 3/15 divided by 72?
What is 18/6 divided by 5/8?
What is 3 divided by 7/17?