What Divided by 22 Equals 5?
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 22, equals 5?
Solving What Divided by 22 Equals 5
Here’s how you would set up this question as an equation:
x
22
=
5
\frac{x}{22} = 5
22 x = 5
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 22, resulting in this equation:
x
=
5
∗
22
x = 5*22
x = 5 ∗ 22
Then we simplify and find our answer:
x
=
110
x = 110
x = 110
So, the answer to the question “What divided by 22 equals 5?” is 110.To prove this, we can take the original problem:
x
22
=
5
\frac{x}{22} = 5
22 x = 5
And insert 110 in the place of x:
110
22
=
5
\frac{110}{22} = 5
22 110 = 5
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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91 divided by what equals 85?
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What is 10/13 divided by 19/4?
What is 10 divided by 15/14?