What Divided by 52 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 52, equals 9?
Solving What Divided by 52 Equals 9
Here’s how you would set up this question as an equation:
x
52
=
9
\frac{x}{52} = 9
52 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 52, resulting in this equation:
x
=
9
∗
52
x = 9*52
x = 9 ∗ 52
Then we simplify and find our answer:
x
=
468
x = 468
x = 468
So, the answer to the question “What divided by 52 equals 9?” is 468.To prove this, we can take the original problem:
x
52
=
9
\frac{x}{52} = 9
52 x = 9
And insert 468 in the place of x:
468
52
=
9
\frac{468}{52} = 9
52 468 = 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!
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55 divided by what equals 49?
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What is 9/17 divided by 8/4?
What is 89 divided by 12/7?