What Divided by 9 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 9, equals 22?
Solving What Divided by 9 Equals 22
Here’s how you would set up this question as an equation:
x
9
=
22
\frac{x}{9} = 22
9 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 9, resulting in this equation:
x
=
22
∗
9
x = 22*9
x = 22 ∗ 9
Then we simplify and find our answer:
x
=
198
x = 198
x = 198
So, the answer to the question “What divided by 9 equals 22?” is 198.To prove this, we can take the original problem:
x
9
=
22
\frac{x}{9} = 22
9 x = 22
And insert 198 in the place of x:
198
9
=
22
\frac{198}{9} = 22
9 198 = 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!
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33 divided by what equals 58?
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