What Divided by 8 Equals 37?
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 37?
Solving What Divided by 8 Equals 37
Here’s how you would set up this question as an equation:
x
8
=
37
\frac{x}{8} = 37
8 x = 37
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
=
37
∗
8
x = 37*8
x = 37 ∗ 8
Then we simplify and find our answer:
x
=
296
x = 296
x = 296
So, the answer to the question “What divided by 8 equals 37?” is 296.To prove this, we can take the original problem:
x
8
=
37
\frac{x}{8} = 37
8 x = 37
And insert 296 in the place of x:
296
8
=
37
\frac{296}{8} = 37
8 296 = 37
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!
What divided by 22 equals 80?
4 divided by what equals 23?
What is 4/19 divided by 81?
What is 3/16 divided by 14/1?
What is 6 divided by 17/6?