What Divided by 67 Equals 86?
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 67, equals 86?
Solving What Divided by 67 Equals 86
Here’s how you would set up this question as an equation:
x
67
=
86
\frac{x}{67} = 86
67 x = 86
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 67, resulting in this equation:
x
=
86
∗
67
x = 86*67
x = 86 ∗ 67
Then we simplify and find our answer:
x
=
5762
x = 5762
x = 5762
So, the answer to the question “What divided by 67 equals 86?” is 5762.To prove this, we can take the original problem:
x
67
=
86
\frac{x}{67} = 86
67 x = 86
And insert 5762 in the place of x:
5762
67
=
86
\frac{5762}{67} = 86
67 5762 = 86
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 8 equals 65?
85 divided by what equals 58?
What is 12/16 divided by 55?
What is 11/17 divided by 9/15?
What is 83 divided by 7/18?