What Divided by 6 Equals 97?
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 6, equals 97?
Solving What Divided by 6 Equals 97
Here’s how you would set up this question as an equation:
x
6
=
97
\frac{x}{6} = 97
6 x = 97
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 6, resulting in this equation:
x
=
97
∗
6
x = 97*6
x = 97 ∗ 6
Then we simplify and find our answer:
x
=
582
x = 582
x = 582
So, the answer to the question “What divided by 6 equals 97?” is 582.To prove this, we can take the original problem:
x
6
=
97
\frac{x}{6} = 97
6 x = 97
And insert 582 in the place of x:
582
6
=
97
\frac{582}{6} = 97
6 582 = 97
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 82 equals 95?
26 divided by what equals 36?
What is 15/9 divided by 46?
What is 16/14 divided by 2/1?
What is 58 divided by 4/17?