What Divided by 23 Equals 7?
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 7?
Solving What Divided by 23 Equals 7
Here’s how you would set up this question as an equation:
x
23
=
7
\frac{x}{23} = 7
23 x = 7
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
=
7
∗
23
x = 7*23
x = 7 ∗ 23
Then we simplify and find our answer:
x
=
161
x = 161
x = 161
So, the answer to the question “What divided by 23 equals 7?” is 161.To prove this, we can take the original problem:
x
23
=
7
\frac{x}{23} = 7
23 x = 7
And insert 161 in the place of x:
161
23
=
7
\frac{161}{23} = 7
23 161 = 7
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 2 equals 35?
95 divided by what equals 63?
What is 3/9 divided by 81?
What is 16/19 divided by 6/4?
What is 7 divided by 8/18?