What Divided by 8 Equals 11?
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 8, equals 11?
Solving What Divided by 8 Equals 11
Here’s how you would set up this question as an equation:
x
8
=
11
\frac{x}{8} = 11
8 x = 11
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 8, resulting in this equation:
x
=
11
∗
8
x = 11*8
x = 11 ∗ 8
Then we simplify and find our answer:
x
=
88
x = 88
x = 88
So, the answer to the question “What divided by 8 equals 11?” is 88.To prove this, we can take the original problem:
x
8
=
11
\frac{x}{8} = 11
8 x = 11
And insert 88 in the place of x:
88
8
=
11
\frac{88}{8} = 11
8 88 = 11
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 4 equals 33?
67 divided by what equals 52?
What is 10/15 divided by 69?
What is 13/19 divided by 16/20?
What is 89 divided by 14/9?