What Divided by 3 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, when divided by 3, equals 13?
Solving What Divided by 3 Equals 13
Here’s how you would set up this question as an equation:
x
3
=
13
\frac{x}{3} = 13
3 x = 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, we can do that by multiplying both sides of the equation by 3, resulting in this equation:
x
=
13
∗
3
x = 13*3
x = 13 ∗ 3
Then we simplify and find our answer:
x
=
39
x = 39
x = 39
So, the answer to the question “What divided by 3 equals 13?” is 39.To prove this, we can take the original problem:
x
3
=
13
\frac{x}{3} = 13
3 x = 13
And insert 39 in the place of x:
39
3
=
13
\frac{39}{3} = 13
3 39 = 13
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 46 equals 78?
40 divided by what equals 72?
What is 5/14 divided by 76?
What is 17/10 divided by 20/11?
What is 6 divided by 9/8?