What Divided by 23 Equals 6?
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 23, equals 6?
Solving What Divided by 23 Equals 6
Here’s how you would set up this question as an equation:
x
23
=
6
\frac{x}{23} = 6
23 x = 6
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 23, resulting in this equation:
x
=
6
∗
23
x = 6*23
x = 6 ∗ 23
Then we simplify and find our answer:
x
=
138
x = 138
x = 138
So, the answer to the question “What divided by 23 equals 6?” is 138.To prove this, we can take the original problem:
x
23
=
6
\frac{x}{23} = 6
23 x = 6
And insert 138 in the place of x:
138
23
=
6
\frac{138}{23} = 6
23 138 = 6
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 32 equals 38?
77 divided by what equals 37?
What is 11/6 divided by 97?
What is 4/14 divided by 20/1?
What is 80 divided by 3/16?