What Divided by 6 Equals 53?
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 53?
Solving What Divided by 6 Equals 53
Here’s how you would set up this question as an equation:
x
6
=
53
\frac{x}{6} = 53
6 x = 53
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
=
53
∗
6
x = 53*6
x = 53 ∗ 6
Then we simplify and find our answer:
x
=
318
x = 318
x = 318
So, the answer to the question “What divided by 6 equals 53?” is 318.To prove this, we can take the original problem:
x
6
=
53
\frac{x}{6} = 53
6 x = 53
And insert 318 in the place of x:
318
6
=
53
\frac{318}{6} = 53
6 318 = 53
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 83 equals 91?
71 divided by what equals 34?
What is 18/17 divided by 53?
What is 5/13 divided by 4/19?
What is 21 divided by 15/3?