What Divided by 8 Equals 38?
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 38?
Solving What Divided by 8 Equals 38
Here’s how you would set up this question as an equation:
x
8
=
38
\frac{x}{8} = 38
8 x = 38
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
=
38
∗
8
x = 38*8
x = 38 ∗ 8
Then we simplify and find our answer:
x
=
304
x = 304
x = 304
So, the answer to the question “What divided by 8 equals 38?” is 304.To prove this, we can take the original problem:
x
8
=
38
\frac{x}{8} = 38
8 x = 38
And insert 304 in the place of x:
304
8
=
38
\frac{304}{8} = 38
8 304 = 38
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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56 divided by what equals 77?
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