What Divided by 2 Equals 52?
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 2, equals 52?
Solving What Divided by 2 Equals 52
Here’s how you would set up this question as an equation:
x
2
=
52
\frac{x}{2} = 52
2 x = 52
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 2, resulting in this equation:
x
=
52
∗
2
x = 52*2
x = 52 ∗ 2
Then we simplify and find our answer:
x
=
104
x = 104
x = 104
So, the answer to the question “What divided by 2 equals 52?” is 104.To prove this, we can take the original problem:
x
2
=
52
\frac{x}{2} = 52
2 x = 52
And insert 104 in the place of x:
104
2
=
52
\frac{104}{2} = 52
2 104 = 52
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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What is 11/20 divided by 10/14?
What is 86 divided by 18/6?