What Divided by 37 Equals 7?
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 37, equals 7?
Solving What Divided by 37 Equals 7
Here’s how you would set up this question as an equation:
x
37
=
7
\frac{x}{37} = 7
37 x = 7
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 37, resulting in this equation:
x
=
7
∗
37
x = 7*37
x = 7 ∗ 37
Then we simplify and find our answer:
x
=
259
x = 259
x = 259
So, the answer to the question “What divided by 37 equals 7?” is 259.To prove this, we can take the original problem:
x
37
=
7
\frac{x}{37} = 7
37 x = 7
And insert 259 in the place of x:
259
37
=
7
\frac{259}{37} = 7
37 259 = 7
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 77 equals 63?
8 divided by what equals 17?
What is 19/14 divided by 79?
What is 17/11 divided by 3/9?
What is 36 divided by 15/12?