What Divided by 7 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 7, equals 86?
Solving What Divided by 7 Equals 86
Here’s how you would set up this question as an equation:
x
7
=
86
\frac{x}{7} = 86
7 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 7, resulting in this equation:
x
=
86
∗
7
x = 86*7
x = 86 ∗ 7
Then we simplify and find our answer:
x
=
602
x = 602
x = 602
So, the answer to the question “What divided by 7 equals 86?” is 602.To prove this, we can take the original problem:
x
7
=
86
\frac{x}{7} = 86
7 x = 86
And insert 602 in the place of x:
602
7
=
86
\frac{602}{7} = 86
7 602 = 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 17 equals 81?
21 divided by what equals 16?
What is 1/8 divided by 24?
What is 2/14 divided by 15/20?
What is 12 divided by 5/19?