53 Divided by What Equals 13?
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 can we divide 53 by to equal 13?
Solving 53 Divided by What Equals 13
Here’s how you would set up this question as an equation:
53
x
=
13
\frac{53}{x} = 13
x 53 = 13
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, it can be done in two steps. The first step is to multiply both sides by x to isolate 53:
53
=
13
∗
x
53 = 13*x
53 = 13 ∗ x
Then we can isolate x on the right side of the equation by dividing both sides by 13:
53
13
=
x
\frac{53}{13} = x
13 53 = x
When we simplify the new equation, we can solve for x. In this example, we will round to the nearest three decimal places if that’s needed.
x
=
4.077
x = 4.077
x = 4.077
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 70 equals 80?
78 divided by what equals 37?
What is 16/11 divided by 1?
What is 5/12 divided by 6/10?
What is 52 divided by 14/13?