What Divided by 8 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, when divided by 8, equals 22?
Solving What Divided by 8 Equals 22
Here’s how you would set up this question as an equation:
x
8
=
22
\frac{x}{8} = 22
8 x = 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, we can do that by multiplying both sides of the equation by 8, resulting in this equation:
x
=
22
∗
8
x = 22*8
x = 22 ∗ 8
Then we simplify and find our answer:
x
=
176
x = 176
x = 176
So, the answer to the question “What divided by 8 equals 22?” is 176.To prove this, we can take the original problem:
x
8
=
22
\frac{x}{8} = 22
8 x = 22
And insert 176 in the place of x:
176
8
=
22
\frac{176}{8} = 22
8 176 = 22
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 1 equals 21?
50 divided by what equals 58?
What is 16/20 divided by 20?
What is 17/5 divided by 2/11?
What is 86 divided by 15/14?